Practice sheet
Fresh questions from the whole chapter, to do on paper.
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- A random variable X takes the values 0, 1 and 2, with P(X = 0) = 29/100 and P(X = 1) = 13/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 14/100 and P(X = 1) = 18/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 18/100 and P(X = 1) = 23/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 28/100 and P(X = 1) = 39/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 16/100 and P(X = 1) = 15/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 29/100 and P(X = 1) = 39/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 30/100 and P(X = 1) = 18/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 21/100 and P(X = 1) = 27/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 11/100 and P(X = 1) = 40/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 31/100 and P(X = 1) = 18/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 29/100 and P(X = 1) = 35/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 29/100 and P(X = 1) = 33/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 40/100 and P(X = 1) = 37/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 22/100 and P(X = 1) = 32/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 26/100 and P(X = 1) = 32/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 36/100 and P(X = 1) = 19/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 26/100 and P(X = 1) = 34/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 30/100 and P(X = 1) = 33/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 17/100 and P(X = 1) = 22/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 13/100 and P(X = 1) = 20/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 12/100 and P(X = 1) = 34/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 12/100 and P(X = 1) = 28/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 13/100 and P(X = 1) = 33/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 25/100 and P(X = 1) = 15/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 17/100 and P(X = 1) = 17/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 33/100 and P(X = 1) = 21/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 25/100 and P(X = 1) = 30/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 26/100 and P(X = 1) = 19/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 25/100 and P(X = 1) = 26/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 14/100 and P(X = 1) = 23/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 11/100 and P(X = 1) = 21/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 10/100 and P(X = 1) = 36/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 10/100 and P(X = 1) = 10/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 21/100 and P(X = 1) = 11/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 35/100 and P(X = 1) = 12/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 26/100 and P(X = 1) = 25/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 39/100 and P(X = 1) = 34/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 39/100 and P(X = 1) = 22/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 29/100 and P(X = 1) = 10/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 20/100 and P(X = 1) = 31/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 26/100 and P(X = 1) = 26/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 15/100 and P(X = 1) = 26/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 35/100 and P(X = 1) = 23/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 17/100 and P(X = 1) = 23/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 11/100 and P(X = 1) = 18/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 36/100 and P(X = 1) = 36/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 31/100 and P(X = 1) = 14/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 31/100 and P(X = 1) = 39/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 32/100 and P(X = 1) = 10/100. Find P(X = 2).A random variable X takes the values 0, 1 and 2, with P(X = 0) = 30/100 and P(X = 1) = 36/100. Find P(X = 2).
- X takes the values 0, 1, 2 with P(X = 0) = 25/100 and P(X = 1) = 15/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 34/100 and P(X = 1) = 15/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 38/100 and P(X = 1) = 35/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 22/100 and P(X = 1) = 34/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 21/100 and P(X = 1) = 18/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 20/100 and P(X = 1) = 17/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 21/100 and P(X = 1) = 20/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 13/100 and P(X = 1) = 24/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 21/100 and P(X = 1) = 25/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 23/100 and P(X = 1) = 31/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 36/100 and P(X = 1) = 35/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 33/100 and P(X = 1) = 10/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 34/100 and P(X = 1) = 26/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 12/100 and P(X = 1) = 26/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 10/100 and P(X = 1) = 20/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 30/100 and P(X = 1) = 15/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 21/100 and P(X = 1) = 17/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 23/100 and P(X = 1) = 21/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 10/100 and P(X = 1) = 17/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 15/100 and P(X = 1) = 34/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 18/100 and P(X = 1) = 15/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 11/100 and P(X = 1) = 13/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 24/100 and P(X = 1) = 19/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 17/100 and P(X = 1) = 17/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 36/100 and P(X = 1) = 20/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 25/100 and P(X = 1) = 28/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 30/100 and P(X = 1) = 14/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 31/100 and P(X = 1) = 31/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 17/100 and P(X = 1) = 37/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 23/100 and P(X = 1) = 40/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 26/100 and P(X = 1) = 37/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 20/100 and P(X = 1) = 15/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 11/100 and P(X = 1) = 19/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 17/100 and P(X = 1) = 36/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 34/100 and P(X = 1) = 24/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 20/100 and P(X = 1) = 10/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 35/100 and P(X = 1) = 35/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 14/100 and P(X = 1) = 40/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 26/100 and P(X = 1) = 12/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 21/100 and P(X = 1) = 37/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 33/100 and P(X = 1) = 35/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 13/100 and P(X = 1) = 22/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 39/100 and P(X = 1) = 21/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 10/100 and P(X = 1) = 24/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 27/100 and P(X = 1) = 19/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 20/100 and P(X = 1) = 33/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 10/100 and P(X = 1) = 37/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 36/100 and P(X = 1) = 13/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 22/100 and P(X = 1) = 13/100. Find P(X ≥ 1).X takes the values 0, 1, 2 with P(X = 0) = 22/100 and P(X = 1) = 31/100. Find P(X ≥ 1).
- Which list could be the probabilities of a random variable with three values?
- 0.1, 0.5 and 4/10
- 0.5, 0.5 and 0.1
- 0.8, 0.4 and −0.2
Which list could be the probabilities of a random variable with three values?- 0.2, 0.5 and 3/10
- 0.5, 0.5 and 0.2
- 0.8, 0.4 and −0.2
Which list could be the probabilities of a random variable with three values?- 0.4, 0.5 and 1/10
- 0.5, 0.5 and 0.4
- 0.8, 0.4 and −0.2
Which list could be the probabilities of a random variable with three values?- 0.3, 0.5 and 2/10
- 0.5, 0.5 and 0.3
- 0.8, 0.4 and −0.2
- X takes the values 0, 1, 2 with probabilities 51/100, 15/100 and 34/100. Find E(X).X takes the values 0, 1, 2 with probabilities 56/100, 25/100 and 19/100. Find E(X).X takes the values 0, 1, 2 with probabilities 77/100, 10/100 and 13/100. Find E(X).X takes the values 0, 1, 2 with probabilities 49/100, 31/100 and 20/100. Find E(X).X takes the values 0, 1, 2 with probabilities 62/100, 15/100 and 23/100. Find E(X).X takes the values 0, 1, 2 with probabilities 25/100, 35/100 and 40/100. Find E(X).X takes the values 0, 1, 2 with probabilities 60/100, 26/100 and 14/100. Find E(X).X takes the values 0, 1, 2 with probabilities 51/100, 33/100 and 16/100. Find E(X).X takes the values 0, 1, 2 with probabilities 60/100, 24/100 and 16/100. Find E(X).X takes the values 0, 1, 2 with probabilities 37/100, 33/100 and 30/100. Find E(X).X takes the values 0, 1, 2 with probabilities 24/100, 40/100 and 36/100. Find E(X).X takes the values 0, 1, 2 with probabilities 38/100, 38/100 and 24/100. Find E(X).X takes the values 0, 1, 2 with probabilities 70/100, 20/100 and 10/100. Find E(X).X takes the values 0, 1, 2 with probabilities 39/100, 26/100 and 35/100. Find E(X).X takes the values 0, 1, 2 with probabilities 46/100, 25/100 and 29/100. Find E(X).X takes the values 0, 1, 2 with probabilities 35/100, 39/100 and 26/100. Find E(X).X takes the values 0, 1, 2 with probabilities 50/100, 30/100 and 20/100. Find E(X).X takes the values 0, 1, 2 with probabilities 43/100, 38/100 and 19/100. Find E(X).X takes the values 0, 1, 2 with probabilities 41/100, 38/100 and 21/100. Find E(X).X takes the values 0, 1, 2 with probabilities 51/100, 30/100 and 19/100. Find E(X).X takes the values 0, 1, 2 with probabilities 35/100, 29/100 and 36/100. Find E(X).X takes the values 0, 1, 2 with probabilities 56/100, 12/100 and 32/100. Find E(X).X takes the values 0, 1, 2 with probabilities 76/100, 12/100 and 12/100. Find E(X).X takes the values 0, 1, 2 with probabilities 55/100, 23/100 and 22/100. Find E(X).X takes the values 0, 1, 2 with probabilities 63/100, 16/100 and 21/100. Find E(X).X takes the values 0, 1, 2 with probabilities 76/100, 13/100 and 11/100. Find E(X).X takes the values 0, 1, 2 with probabilities 34/100, 38/100 and 28/100. Find E(X).X takes the values 0, 1, 2 with probabilities 50/100, 25/100 and 25/100. Find E(X).X takes the values 0, 1, 2 with probabilities 46/100, 38/100 and 16/100. Find E(X).X takes the values 0, 1, 2 with probabilities 33/100, 29/100 and 38/100. Find E(X).X takes the values 0, 1, 2 with probabilities 48/100, 34/100 and 18/100. Find E(X).X takes the values 0, 1, 2 with probabilities 50/100, 27/100 and 23/100. Find E(X).X takes the values 0, 1, 2 with probabilities 51/100, 16/100 and 33/100. Find E(X).X takes the values 0, 1, 2 with probabilities 62/100, 28/100 and 10/100. Find E(X).X takes the values 0, 1, 2 with probabilities 40/100, 29/100 and 31/100. Find E(X).X takes the values 0, 1, 2 with probabilities 51/100, 37/100 and 12/100. Find E(X).X takes the values 0, 1, 2 with probabilities 48/100, 37/100 and 15/100. Find E(X).X takes the values 0, 1, 2 with probabilities 29/100, 33/100 and 38/100. Find E(X).X takes the values 0, 1, 2 with probabilities 29/100, 36/100 and 35/100. Find E(X).X takes the values 0, 1, 2 with probabilities 59/100, 23/100 and 18/100. Find E(X).X takes the values 0, 1, 2 with probabilities 45/100, 23/100 and 32/100. Find E(X).X takes the values 0, 1, 2 with probabilities 62/100, 18/100 and 20/100. Find E(X).X takes the values 0, 1, 2 with probabilities 53/100, 21/100 and 26/100. Find E(X).X takes the values 0, 1, 2 with probabilities 57/100, 10/100 and 33/100. Find E(X).X takes the values 0, 1, 2 with probabilities 53/100, 10/100 and 37/100. Find E(X).X takes the values 0, 1, 2 with probabilities 71/100, 14/100 and 15/100. Find E(X).X takes the values 0, 1, 2 with probabilities 48/100, 38/100 and 14/100. Find E(X).X takes the values 0, 1, 2 with probabilities 49/100, 12/100 and 39/100. Find E(X).X takes the values 0, 1, 2 with probabilities 62/100, 20/100 and 18/100. Find E(X).X takes the values 0, 1, 2 with probabilities 42/100, 37/100 and 21/100. Find E(X).
- X = 1 with probability 7/10 and X = 0 otherwise. Find the standard deviation of X.X = 1 with probability 9/10 and X = 0 otherwise. Find the standard deviation of X.X = 1 with probability 3/10 and X = 0 otherwise. Find the standard deviation of X.X = 1 with probability 1/10 and X = 0 otherwise. Find the standard deviation of X.X = 1 with probability 8/10 and X = 0 otherwise. Find the standard deviation of X.X = 1 with probability 6/10 and X = 0 otherwise. Find the standard deviation of X.X = 1 with probability 2/10 and X = 0 otherwise. Find the standard deviation of X.X = 1 with probability 4/10 and X = 0 otherwise. Find the standard deviation of X.
- A game costs 1 dollar. You win 9 dollars (net) with probability 1/7; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 7 dollars (net) with probability 1/7; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 9 dollars (net) with probability 1/8; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 8 dollars (net) with probability 1/7; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 6 dollars (net) with probability 1/7; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 4 dollars (net) with probability 1/10; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 6 dollars (net) with probability 1/6; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 3 dollars (net) with probability 1/3; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 3 dollars (net) with probability 1/8; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 6 dollars (net) with probability 1/3; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 9 dollars (net) with probability 1/4; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 4 dollars (net) with probability 1/4; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 8 dollars (net) with probability 1/10; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 3 dollars (net) with probability 1/9; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 3 dollars (net) with probability 1/6; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 8 dollars (net) with probability 1/8; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 2 dollars (net) with probability 1/3; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 9 dollars (net) with probability 1/3; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 2 dollars (net) with probability 1/6; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 6 dollars (net) with probability 1/8; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 7 dollars (net) with probability 1/10; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 2 dollars (net) with probability 1/7; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 6 dollars (net) with probability 1/10; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 5 dollars (net) with probability 1/6; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 4 dollars (net) with probability 1/6; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 2 dollars (net) with probability 1/9; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 5 dollars (net) with probability 1/4; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 2 dollars (net) with probability 1/5; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 8 dollars (net) with probability 1/6; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 9 dollars (net) with probability 1/10; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 6 dollars (net) with probability 1/4; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 4 dollars (net) with probability 1/7; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 4 dollars (net) with probability 1/3; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 9 dollars (net) with probability 1/9; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 5 dollars (net) with probability 1/5; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 5 dollars (net) with probability 1/10; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 9 dollars (net) with probability 1/5; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 6 dollars (net) with probability 1/9; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 3 dollars (net) with probability 1/4; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 5 dollars (net) with probability 1/7; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 7 dollars (net) with probability 1/9; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 4 dollars (net) with probability 1/8; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 7 dollars (net) with probability 1/3; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 2 dollars (net) with probability 1/4; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 7 dollars (net) with probability 1/5; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 3 dollars (net) with probability 1/5; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 5 dollars (net) with probability 1/9; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 8 dollars (net) with probability 1/5; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 8 dollars (net) with probability 1/3; otherwise you lose your dollar. Find your expected net gain, in dollars.A game costs 1 dollar. You win 2 dollars (net) with probability 1/10; otherwise you lose your dollar. Find your expected net gain, in dollars.
- X and Y are independent with SD(X) = 27 and SD(Y) = 36. Find SD(X + Y).X and Y are independent with SD(X) = 18 and SD(Y) = 24. Find SD(X + Y).X and Y are independent with SD(X) = 12 and SD(Y) = 16. Find SD(X + Y).X and Y are independent with SD(X) = 3 and SD(Y) = 4. Find SD(X + Y).X and Y are independent with SD(X) = 24 and SD(Y) = 32. Find SD(X + Y).X and Y are independent with SD(X) = 6 and SD(Y) = 8. Find SD(X + Y).X and Y are independent with SD(X) = 9 and SD(Y) = 12. Find SD(X + Y).X and Y are independent with SD(X) = 21 and SD(Y) = 28. Find SD(X + Y).X and Y are independent with SD(X) = 15 and SD(Y) = 20. Find SD(X + Y).
- X and Y are independent with SD(X) = 24 and SD(Y) = 10. Find SD(X − Y).X and Y are independent with SD(X) = 72 and SD(Y) = 30. Find SD(X − Y).X and Y are independent with SD(X) = 96 and SD(Y) = 40. Find SD(X − Y).X and Y are independent with SD(X) = 84 and SD(Y) = 35. Find SD(X − Y).X and Y are independent with SD(X) = 36 and SD(Y) = 15. Find SD(X − Y).X and Y are independent with SD(X) = 60 and SD(Y) = 25. Find SD(X − Y).X and Y are independent with SD(X) = 12 and SD(Y) = 5. Find SD(X − Y).X and Y are independent with SD(X) = 108 and SD(Y) = 45. Find SD(X − Y).X and Y are independent with SD(X) = 48 and SD(Y) = 20. Find SD(X − Y).
- SD(X) = 8. Let Y = 12 + 5X. Find SD(Y).SD(X) = 2. Let Y = 20 + 6X. Find SD(Y).SD(X) = 2. Let Y = 13 + 5X. Find SD(Y).SD(X) = 6. Let Y = 8 + 8X. Find SD(Y).SD(X) = 6. Let Y = 18 + 3X. Find SD(Y).SD(X) = 6. Let Y = 18 + 2X. Find SD(Y).SD(X) = 7. Let Y = 3 + 2X. Find SD(Y).SD(X) = 8. Let Y = 15 + 6X. Find SD(Y).SD(X) = 5. Let Y = 7 + 2X. Find SD(Y).SD(X) = 9. Let Y = 11 + 7X. Find SD(Y).SD(X) = 4. Let Y = 5 + 6X. Find SD(Y).SD(X) = 4. Let Y = 7 + 8X. Find SD(Y).SD(X) = 3. Let Y = 3 + 8X. Find SD(Y).SD(X) = 7. Let Y = 8 + 5X. Find SD(Y).SD(X) = 5. Let Y = 12 + 2X. Find SD(Y).SD(X) = 8. Let Y = 2 + 8X. Find SD(Y).SD(X) = 8. Let Y = 16 + 7X. Find SD(Y).SD(X) = 7. Let Y = 16 + 4X. Find SD(Y).SD(X) = 8. Let Y = 6 + 2X. Find SD(Y).SD(X) = 5. Let Y = 16 + 4X. Find SD(Y).SD(X) = 7. Let Y = 19 + 4X. Find SD(Y).SD(X) = 6. Let Y = 16 + 6X. Find SD(Y).SD(X) = 3. Let Y = 11 + 8X. Find SD(Y).SD(X) = 5. Let Y = 20 + 4X. Find SD(Y).SD(X) = 7. Let Y = 13 + 9X. Find SD(Y).SD(X) = 5. Let Y = 19 + 3X. Find SD(Y).SD(X) = 8. Let Y = 18 + 4X. Find SD(Y).SD(X) = 6. Let Y = 10 + 6X. Find SD(Y).SD(X) = 9. Let Y = 7 + 4X. Find SD(Y).SD(X) = 5. Let Y = 4 + 3X. Find SD(Y).SD(X) = 9. Let Y = 12 + 2X. Find SD(Y).SD(X) = 4. Let Y = 11 + 3X. Find SD(Y).SD(X) = 9. Let Y = 8 + 6X. Find SD(Y).SD(X) = 3. Let Y = 20 + 4X. Find SD(Y).SD(X) = 5. Let Y = 9 + 6X. Find SD(Y).SD(X) = 5. Let Y = 7 + 5X. Find SD(Y).SD(X) = 8. Let Y = 10 + 6X. Find SD(Y).SD(X) = 9. Let Y = 8 + 7X. Find SD(Y).SD(X) = 7. Let Y = 14 + 7X. Find SD(Y).SD(X) = 7. Let Y = 18 + 7X. Find SD(Y).SD(X) = 2. Let Y = 11 + 8X. Find SD(Y).SD(X) = 4. Let Y = 17 + 2X. Find SD(Y).SD(X) = 4. Let Y = 10 + 4X. Find SD(Y).SD(X) = 7. Let Y = 9 + 5X. Find SD(Y).SD(X) = 9. Let Y = 4 + 9X. Find SD(Y).SD(X) = 2. Let Y = 4 + 4X. Find SD(Y).SD(X) = 9. Let Y = 13 + 3X. Find SD(Y).SD(X) = 9. Let Y = 5 + 3X. Find SD(Y).SD(X) = 9. Let Y = 20 + 4X. Find SD(Y).SD(X) = 6. Let Y = 8 + 9X. Find SD(Y).
- A free throw is made with probability 1/6. In 5 independent shots, find P(exactly one is made).A free throw is made with probability 1/5. In 6 independent shots, find P(exactly one is made).A free throw is made with probability 1/2. In 7 independent shots, find P(exactly one is made).A free throw is made with probability 1/5. In 4 independent shots, find P(exactly one is made).A free throw is made with probability 1/3. In 8 independent shots, find P(exactly one is made).A free throw is made with probability 1/3. In 5 independent shots, find P(exactly one is made).A free throw is made with probability 1/4. In 7 independent shots, find P(exactly one is made).A free throw is made with probability 1/2. In 4 independent shots, find P(exactly one is made).A free throw is made with probability 1/3. In 6 independent shots, find P(exactly one is made).A free throw is made with probability 1/2. In 8 independent shots, find P(exactly one is made).A free throw is made with probability 1/3. In 7 independent shots, find P(exactly one is made).A free throw is made with probability 1/6. In 6 independent shots, find P(exactly one is made).A free throw is made with probability 1/5. In 5 independent shots, find P(exactly one is made).A free throw is made with probability 1/3. In 4 independent shots, find P(exactly one is made).A free throw is made with probability 1/5. In 8 independent shots, find P(exactly one is made).A free throw is made with probability 1/6. In 4 independent shots, find P(exactly one is made).A free throw is made with probability 1/4. In 3 independent shots, find P(exactly one is made).A free throw is made with probability 1/5. In 3 independent shots, find P(exactly one is made).A free throw is made with probability 1/2. In 5 independent shots, find P(exactly one is made).A free throw is made with probability 1/5. In 7 independent shots, find P(exactly one is made).A free throw is made with probability 1/2. In 3 independent shots, find P(exactly one is made).A free throw is made with probability 1/6. In 8 independent shots, find P(exactly one is made).A free throw is made with probability 1/4. In 6 independent shots, find P(exactly one is made).A free throw is made with probability 1/6. In 3 independent shots, find P(exactly one is made).A free throw is made with probability 1/3. In 3 independent shots, find P(exactly one is made).A free throw is made with probability 1/2. In 6 independent shots, find P(exactly one is made).A free throw is made with probability 1/4. In 8 independent shots, find P(exactly one is made).A free throw is made with probability 1/4. In 5 independent shots, find P(exactly one is made).A free throw is made with probability 1/4. In 4 independent shots, find P(exactly one is made).A free throw is made with probability 1/6. In 7 independent shots, find P(exactly one is made).
- A seed sprouts with probability 1/4, independently. 6 seeds are planted. Find P(exactly two sprout).A seed sprouts with probability 1/3, independently. 8 seeds are planted. Find P(exactly two sprout).A seed sprouts with probability 1/6, independently. 5 seeds are planted. Find P(exactly two sprout).A seed sprouts with probability 1/4, independently. 7 seeds are planted. Find P(exactly two sprout).A seed sprouts with probability 1/6, independently. 6 seeds are planted. Find P(exactly two sprout).A seed sprouts with probability 1/6, independently. 7 seeds are planted. Find P(exactly two sprout).A seed sprouts with probability 1/4, independently. 8 seeds are planted. Find P(exactly two sprout).A seed sprouts with probability 1/3, independently. 7 seeds are planted. Find P(exactly two sprout).A seed sprouts with probability 1/5, independently. 8 seeds are planted. Find P(exactly two sprout).A seed sprouts with probability 1/6, independently. 4 seeds are planted. Find P(exactly two sprout).A seed sprouts with probability 1/5, independently. 4 seeds are planted. Find P(exactly two sprout).A seed sprouts with probability 1/6, independently. 8 seeds are planted. Find P(exactly two sprout).A seed sprouts with probability 1/2, independently. 8 seeds are planted. Find P(exactly two sprout).A seed sprouts with probability 1/2, independently. 6 seeds are planted. Find P(exactly two sprout).A seed sprouts with probability 1/5, independently. 7 seeds are planted. Find P(exactly two sprout).A seed sprouts with probability 1/2, independently. 4 seeds are planted. Find P(exactly two sprout).A seed sprouts with probability 1/4, independently. 4 seeds are planted. Find P(exactly two sprout).A seed sprouts with probability 1/5, independently. 3 seeds are planted. Find P(exactly two sprout).A seed sprouts with probability 1/2, independently. 3 seeds are planted. Find P(exactly two sprout).A seed sprouts with probability 1/4, independently. 5 seeds are planted. Find P(exactly two sprout).A seed sprouts with probability 1/3, independently. 4 seeds are planted. Find P(exactly two sprout).A seed sprouts with probability 1/2, independently. 7 seeds are planted. Find P(exactly two sprout).A seed sprouts with probability 1/3, independently. 3 seeds are planted. Find P(exactly two sprout).A seed sprouts with probability 1/4, independently. 3 seeds are planted. Find P(exactly two sprout).A seed sprouts with probability 1/3, independently. 6 seeds are planted. Find P(exactly two sprout).A seed sprouts with probability 1/5, independently. 6 seeds are planted. Find P(exactly two sprout).A seed sprouts with probability 1/2, independently. 5 seeds are planted. Find P(exactly two sprout).A seed sprouts with probability 1/3, independently. 5 seeds are planted. Find P(exactly two sprout).A seed sprouts with probability 1/6, independently. 3 seeds are planted. Find P(exactly two sprout).A seed sprouts with probability 1/5, independently. 5 seeds are planted. Find P(exactly two sprout).
- Which situation fits a binomial model?
- The number of heads in 9 tosses of a fair coin
- The number of tosses until the first head
- The number of aces in 9 cards dealt from one deck
Which situation fits a binomial model?- The number of heads in 17 tosses of a fair coin
- The number of tosses until the first head
- The number of aces in 17 cards dealt from one deck
Which situation fits a binomial model?- The number of heads in 6 tosses of a fair coin
- The number of tosses until the first head
- The number of aces in 6 cards dealt from one deck
Which situation fits a binomial model?- The number of heads in 7 tosses of a fair coin
- The number of tosses until the first head
- The number of aces in 7 cards dealt from one deck
Which situation fits a binomial model?- The number of heads in 12 tosses of a fair coin
- The number of tosses until the first head
- The number of aces in 12 cards dealt from one deck
Which situation fits a binomial model?- The number of heads in 15 tosses of a fair coin
- The number of tosses until the first head
- The number of aces in 15 cards dealt from one deck
Which situation fits a binomial model?- The number of heads in 20 tosses of a fair coin
- The number of tosses until the first head
- The number of aces in 20 cards dealt from one deck
Which situation fits a binomial model?- The number of heads in 14 tosses of a fair coin
- The number of tosses until the first head
- The number of aces in 14 cards dealt from one deck
Which situation fits a binomial model?- The number of heads in 11 tosses of a fair coin
- The number of tosses until the first head
- The number of aces in 11 cards dealt from one deck
Which situation fits a binomial model?- The number of heads in 18 tosses of a fair coin
- The number of tosses until the first head
- The number of aces in 18 cards dealt from one deck
Which situation fits a binomial model?- The number of heads in 19 tosses of a fair coin
- The number of tosses until the first head
- The number of aces in 19 cards dealt from one deck
Which situation fits a binomial model?- The number of heads in 13 tosses of a fair coin
- The number of tosses until the first head
- The number of aces in 13 cards dealt from one deck
Which situation fits a binomial model?- The number of heads in 16 tosses of a fair coin
- The number of tosses until the first head
- The number of aces in 16 cards dealt from one deck
Which situation fits a binomial model?- The number of heads in 8 tosses of a fair coin
- The number of tosses until the first head
- The number of aces in 8 cards dealt from one deck
Which situation fits a binomial model?- The number of heads in 5 tosses of a fair coin
- The number of tosses until the first head
- The number of aces in 5 cards dealt from one deck
Which situation fits a binomial model?- The number of heads in 10 tosses of a fair coin
- The number of tosses until the first head
- The number of aces in 10 cards dealt from one deck
- X is binomial with n = 91 and p = 1/9. Find E(X).X is binomial with n = 87 and p = 1/8. Find E(X).X is binomial with n = 59 and p = 1/5. Find E(X).X is binomial with n = 75 and p = 1/9. Find E(X).X is binomial with n = 96 and p = 1/8. Find E(X).X is binomial with n = 21 and p = 1/8. Find E(X).X is binomial with n = 76 and p = 1/9. Find E(X).X is binomial with n = 14 and p = 1/5. Find E(X).X is binomial with n = 32 and p = 1/8. Find E(X).X is binomial with n = 84 and p = 1/4. Find E(X).X is binomial with n = 21 and p = 1/10. Find E(X).X is binomial with n = 21 and p = 1/5. Find E(X).X is binomial with n = 90 and p = 1/6. Find E(X).X is binomial with n = 48 and p = 1/10. Find E(X).X is binomial with n = 58 and p = 1/4. Find E(X).X is binomial with n = 58 and p = 1/2. Find E(X).X is binomial with n = 97 and p = 1/3. Find E(X).X is binomial with n = 83 and p = 1/6. Find E(X).X is binomial with n = 40 and p = 1/4. Find E(X).X is binomial with n = 78 and p = 1/3. Find E(X).X is binomial with n = 15 and p = 1/3. Find E(X).X is binomial with n = 79 and p = 1/8. Find E(X).X is binomial with n = 26 and p = 1/10. Find E(X).X is binomial with n = 35 and p = 1/2. Find E(X).X is binomial with n = 46 and p = 1/8. Find E(X).X is binomial with n = 17 and p = 1/9. Find E(X).X is binomial with n = 47 and p = 1/6. Find E(X).X is binomial with n = 44 and p = 1/6. Find E(X).X is binomial with n = 25 and p = 1/7. Find E(X).X is binomial with n = 31 and p = 1/7. Find E(X).X is binomial with n = 81 and p = 1/8. Find E(X).X is binomial with n = 56 and p = 1/10. Find E(X).X is binomial with n = 55 and p = 1/9. Find E(X).X is binomial with n = 88 and p = 1/3. Find E(X).X is binomial with n = 100 and p = 1/8. Find E(X).X is binomial with n = 71 and p = 1/7. Find E(X).X is binomial with n = 82 and p = 1/9. Find E(X).X is binomial with n = 57 and p = 1/3. Find E(X).X is binomial with n = 86 and p = 1/4. Find E(X).X is binomial with n = 40 and p = 1/8. Find E(X).X is binomial with n = 97 and p = 1/5. Find E(X).X is binomial with n = 63 and p = 1/9. Find E(X).X is binomial with n = 97 and p = 1/8. Find E(X).X is binomial with n = 59 and p = 1/6. Find E(X).X is binomial with n = 96 and p = 1/9. Find E(X).X is binomial with n = 85 and p = 1/8. Find E(X).X is binomial with n = 41 and p = 1/8. Find E(X).X is binomial with n = 51 and p = 1/10. Find E(X).X is binomial with n = 54 and p = 1/6. Find E(X).X is binomial with n = 11 and p = 1/3. Find E(X).
- X is binomial with n = 70 and p = 1/5. Find SD(X).X is binomial with n = 71 and p = 1/2. Find SD(X).X is binomial with n = 81 and p = 1/7. Find SD(X).X is binomial with n = 23 and p = 1/3. Find SD(X).X is binomial with n = 31 and p = 1/4. Find SD(X).X is binomial with n = 42 and p = 1/2. Find SD(X).X is binomial with n = 23 and p = 1/5. Find SD(X).X is binomial with n = 64 and p = 1/7. Find SD(X).X is binomial with n = 21 and p = 1/7. Find SD(X).X is binomial with n = 85 and p = 1/8. Find SD(X).X is binomial with n = 22 and p = 1/10. Find SD(X).X is binomial with n = 91 and p = 1/10. Find SD(X).X is binomial with n = 98 and p = 1/9. Find SD(X).X is binomial with n = 97 and p = 1/5. Find SD(X).X is binomial with n = 80 and p = 1/9. Find SD(X).X is binomial with n = 98 and p = 1/4. Find SD(X).X is binomial with n = 41 and p = 1/7. Find SD(X).X is binomial with n = 83 and p = 1/5. Find SD(X).X is binomial with n = 46 and p = 1/2. Find SD(X).X is binomial with n = 37 and p = 1/9. Find SD(X).X is binomial with n = 84 and p = 1/3. Find SD(X).X is binomial with n = 37 and p = 1/7. Find SD(X).X is binomial with n = 81 and p = 1/8. Find SD(X).X is binomial with n = 84 and p = 1/7. Find SD(X).X is binomial with n = 95 and p = 1/2. Find SD(X).X is binomial with n = 31 and p = 1/9. Find SD(X).X is binomial with n = 82 and p = 1/6. Find SD(X).X is binomial with n = 74 and p = 1/7. Find SD(X).X is binomial with n = 57 and p = 1/9. Find SD(X).X is binomial with n = 88 and p = 1/2. Find SD(X).X is binomial with n = 43 and p = 1/9. Find SD(X).X is binomial with n = 70 and p = 1/3. Find SD(X).X is binomial with n = 56 and p = 1/7. Find SD(X).X is binomial with n = 93 and p = 1/8. Find SD(X).X is binomial with n = 92 and p = 1/2. Find SD(X).X is binomial with n = 91 and p = 1/2. Find SD(X).X is binomial with n = 77 and p = 1/6. Find SD(X).X is binomial with n = 40 and p = 1/2. Find SD(X).X is binomial with n = 36 and p = 1/8. Find SD(X).X is binomial with n = 90 and p = 1/4. Find SD(X).X is binomial with n = 18 and p = 1/10. Find SD(X).X is binomial with n = 35 and p = 1/3. Find SD(X).X is binomial with n = 51 and p = 1/3. Find SD(X).X is binomial with n = 88 and p = 1/7. Find SD(X).X is binomial with n = 97 and p = 1/2. Find SD(X).X is binomial with n = 26 and p = 1/2. Find SD(X).X is binomial with n = 52 and p = 1/7. Find SD(X).X is binomial with n = 49 and p = 1/2. Find SD(X).X is binomial with n = 27 and p = 1/5. Find SD(X).X is binomial with n = 57 and p = 1/10. Find SD(X).
- A multiple-choice test has 87 questions with 4 options each. A student guesses every answer. What does E(X) = \frac{87}{4} mean?
- Over many such guessed tests, the average number correct is about \frac{87}{4}
- The student will get exactly \frac{87}{4} right
- \frac{87}{4} is the largest possible score
A multiple-choice test has 42 questions with 4 options each. A student guesses every answer. What does E(X) = \frac{21}{2} mean?- Over many such guessed tests, the average number correct is about \frac{21}{2}
- The student will get exactly \frac{21}{2} right
- \frac{21}{2} is the largest possible score
A multiple-choice test has 21 questions with 4 options each. A student guesses every answer. What does E(X) = \frac{21}{4} mean?- Over many such guessed tests, the average number correct is about \frac{21}{4}
- The student will get exactly \frac{21}{4} right
- \frac{21}{4} is the largest possible score
A multiple-choice test has 78 questions with 4 options each. A student guesses every answer. What does E(X) = \frac{39}{2} mean?- Over many such guessed tests, the average number correct is about \frac{39}{2}
- The student will get exactly \frac{39}{2} right
- \frac{39}{2} is the largest possible score
A multiple-choice test has 100 questions with 4 options each. A student guesses every answer. What does E(X) = 25 mean?- Over many such guessed tests, the average number correct is about 25
- The student will get exactly 25 right
- 25 is the largest possible score
A multiple-choice test has 38 questions with 4 options each. A student guesses every answer. What does E(X) = \frac{19}{2} mean?- Over many such guessed tests, the average number correct is about \frac{19}{2}
- The student will get exactly \frac{19}{2} right
- \frac{19}{2} is the largest possible score
A multiple-choice test has 89 questions with 4 options each. A student guesses every answer. What does E(X) = \frac{89}{4} mean?- Over many such guessed tests, the average number correct is about \frac{89}{4}
- The student will get exactly \frac{89}{4} right
- \frac{89}{4} is the largest possible score
A multiple-choice test has 51 questions with 4 options each. A student guesses every answer. What does E(X) = \frac{51}{4} mean?- Over many such guessed tests, the average number correct is about \frac{51}{4}
- The student will get exactly \frac{51}{4} right
- \frac{51}{4} is the largest possible score
A multiple-choice test has 98 questions with 4 options each. A student guesses every answer. What does E(X) = \frac{49}{2} mean?- Over many such guessed tests, the average number correct is about \frac{49}{2}
- The student will get exactly \frac{49}{2} right
- \frac{49}{2} is the largest possible score
A multiple-choice test has 96 questions with 4 options each. A student guesses every answer. What does E(X) = 24 mean?- Over many such guessed tests, the average number correct is about 24
- The student will get exactly 24 right
- 24 is the largest possible score
A multiple-choice test has 68 questions with 4 options each. A student guesses every answer. What does E(X) = 17 mean?- Over many such guessed tests, the average number correct is about 17
- The student will get exactly 17 right
- 17 is the largest possible score
A multiple-choice test has 67 questions with 4 options each. A student guesses every answer. What does E(X) = \frac{67}{4} mean?- Over many such guessed tests, the average number correct is about \frac{67}{4}
- The student will get exactly \frac{67}{4} right
- \frac{67}{4} is the largest possible score
A multiple-choice test has 58 questions with 4 options each. A student guesses every answer. What does E(X) = \frac{29}{2} mean?- Over many such guessed tests, the average number correct is about \frac{29}{2}
- The student will get exactly \frac{29}{2} right
- \frac{29}{2} is the largest possible score
A multiple-choice test has 57 questions with 4 options each. A student guesses every answer. What does E(X) = \frac{57}{4} mean?- Over many such guessed tests, the average number correct is about \frac{57}{4}
- The student will get exactly \frac{57}{4} right
- \frac{57}{4} is the largest possible score
A multiple-choice test has 70 questions with 4 options each. A student guesses every answer. What does E(X) = \frac{35}{2} mean?- Over many such guessed tests, the average number correct is about \frac{35}{2}
- The student will get exactly \frac{35}{2} right
- \frac{35}{2} is the largest possible score
A multiple-choice test has 85 questions with 4 options each. A student guesses every answer. What does E(X) = \frac{85}{4} mean?- Over many such guessed tests, the average number correct is about \frac{85}{4}
- The student will get exactly \frac{85}{4} right
- \frac{85}{4} is the largest possible score
A multiple-choice test has 61 questions with 4 options each. A student guesses every answer. What does E(X) = \frac{61}{4} mean?- Over many such guessed tests, the average number correct is about \frac{61}{4}
- The student will get exactly \frac{61}{4} right
- \frac{61}{4} is the largest possible score
A multiple-choice test has 26 questions with 4 options each. A student guesses every answer. What does E(X) = \frac{13}{2} mean?- Over many such guessed tests, the average number correct is about \frac{13}{2}
- The student will get exactly \frac{13}{2} right
- \frac{13}{2} is the largest possible score
A multiple-choice test has 74 questions with 4 options each. A student guesses every answer. What does E(X) = \frac{37}{2} mean?- Over many such guessed tests, the average number correct is about \frac{37}{2}
- The student will get exactly \frac{37}{2} right
- \frac{37}{2} is the largest possible score
A multiple-choice test has 49 questions with 4 options each. A student guesses every answer. What does E(X) = \frac{49}{4} mean?- Over many such guessed tests, the average number correct is about \frac{49}{4}
- The student will get exactly \frac{49}{4} right
- \frac{49}{4} is the largest possible score
A multiple-choice test has 24 questions with 4 options each. A student guesses every answer. What does E(X) = 6 mean?- Over many such guessed tests, the average number correct is about 6
- The student will get exactly 6 right
- 6 is the largest possible score
A multiple-choice test has 27 questions with 4 options each. A student guesses every answer. What does E(X) = \frac{27}{4} mean?- Over many such guessed tests, the average number correct is about \frac{27}{4}
- The student will get exactly \frac{27}{4} right
- \frac{27}{4} is the largest possible score
A multiple-choice test has 32 questions with 4 options each. A student guesses every answer. What does E(X) = 8 mean?- Over many such guessed tests, the average number correct is about 8
- The student will get exactly 8 right
- 8 is the largest possible score
A multiple-choice test has 20 questions with 4 options each. A student guesses every answer. What does E(X) = 5 mean?- Over many such guessed tests, the average number correct is about 5
- The student will get exactly 5 right
- 5 is the largest possible score
A multiple-choice test has 35 questions with 4 options each. A student guesses every answer. What does E(X) = \frac{35}{4} mean?- Over many such guessed tests, the average number correct is about \frac{35}{4}
- The student will get exactly \frac{35}{4} right
- \frac{35}{4} is the largest possible score
A multiple-choice test has 46 questions with 4 options each. A student guesses every answer. What does E(X) = \frac{23}{2} mean?- Over many such guessed tests, the average number correct is about \frac{23}{2}
- The student will get exactly \frac{23}{2} right
- \frac{23}{2} is the largest possible score
A multiple-choice test has 44 questions with 4 options each. A student guesses every answer. What does E(X) = 11 mean?- Over many such guessed tests, the average number correct is about 11
- The student will get exactly 11 right
- 11 is the largest possible score
A multiple-choice test has 22 questions with 4 options each. A student guesses every answer. What does E(X) = \frac{11}{2} mean?- Over many such guessed tests, the average number correct is about \frac{11}{2}
- The student will get exactly \frac{11}{2} right
- \frac{11}{2} is the largest possible score
A multiple-choice test has 29 questions with 4 options each. A student guesses every answer. What does E(X) = \frac{29}{4} mean?- Over many such guessed tests, the average number correct is about \frac{29}{4}
- The student will get exactly \frac{29}{4} right
- \frac{29}{4} is the largest possible score
A multiple-choice test has 64 questions with 4 options each. A student guesses every answer. What does E(X) = 16 mean?- Over many such guessed tests, the average number correct is about 16
- The student will get exactly 16 right
- 16 is the largest possible score
A multiple-choice test has 63 questions with 4 options each. A student guesses every answer. What does E(X) = \frac{63}{4} mean?- Over many such guessed tests, the average number correct is about \frac{63}{4}
- The student will get exactly \frac{63}{4} right
- \frac{63}{4} is the largest possible score
A multiple-choice test has 30 questions with 4 options each. A student guesses every answer. What does E(X) = \frac{15}{2} mean?- Over many such guessed tests, the average number correct is about \frac{15}{2}
- The student will get exactly \frac{15}{2} right
- \frac{15}{2} is the largest possible score
A multiple-choice test has 99 questions with 4 options each. A student guesses every answer. What does E(X) = \frac{99}{4} mean?- Over many such guessed tests, the average number correct is about \frac{99}{4}
- The student will get exactly \frac{99}{4} right
- \frac{99}{4} is the largest possible score
A multiple-choice test has 25 questions with 4 options each. A student guesses every answer. What does E(X) = \frac{25}{4} mean?- Over many such guessed tests, the average number correct is about \frac{25}{4}
- The student will get exactly \frac{25}{4} right
- \frac{25}{4} is the largest possible score
A multiple-choice test has 69 questions with 4 options each. A student guesses every answer. What does E(X) = \frac{69}{4} mean?- Over many such guessed tests, the average number correct is about \frac{69}{4}
- The student will get exactly \frac{69}{4} right
- \frac{69}{4} is the largest possible score
A multiple-choice test has 50 questions with 4 options each. A student guesses every answer. What does E(X) = \frac{25}{2} mean?- Over many such guessed tests, the average number correct is about \frac{25}{2}
- The student will get exactly \frac{25}{2} right
- \frac{25}{2} is the largest possible score
A multiple-choice test has 84 questions with 4 options each. A student guesses every answer. What does E(X) = 21 mean?- Over many such guessed tests, the average number correct is about 21
- The student will get exactly 21 right
- 21 is the largest possible score
A multiple-choice test has 23 questions with 4 options each. A student guesses every answer. What does E(X) = \frac{23}{4} mean?- Over many such guessed tests, the average number correct is about \frac{23}{4}
- The student will get exactly \frac{23}{4} right
- \frac{23}{4} is the largest possible score
A multiple-choice test has 65 questions with 4 options each. A student guesses every answer. What does E(X) = \frac{65}{4} mean?- Over many such guessed tests, the average number correct is about \frac{65}{4}
- The student will get exactly \frac{65}{4} right
- \frac{65}{4} is the largest possible score
A multiple-choice test has 73 questions with 4 options each. A student guesses every answer. What does E(X) = \frac{73}{4} mean?- Over many such guessed tests, the average number correct is about \frac{73}{4}
- The student will get exactly \frac{73}{4} right
- \frac{73}{4} is the largest possible score
A multiple-choice test has 71 questions with 4 options each. A student guesses every answer. What does E(X) = \frac{71}{4} mean?- Over many such guessed tests, the average number correct is about \frac{71}{4}
- The student will get exactly \frac{71}{4} right
- \frac{71}{4} is the largest possible score
A multiple-choice test has 33 questions with 4 options each. A student guesses every answer. What does E(X) = \frac{33}{4} mean?- Over many such guessed tests, the average number correct is about \frac{33}{4}
- The student will get exactly \frac{33}{4} right
- \frac{33}{4} is the largest possible score
A multiple-choice test has 45 questions with 4 options each. A student guesses every answer. What does E(X) = \frac{45}{4} mean?- Over many such guessed tests, the average number correct is about \frac{45}{4}
- The student will get exactly \frac{45}{4} right
- \frac{45}{4} is the largest possible score
A multiple-choice test has 76 questions with 4 options each. A student guesses every answer. What does E(X) = 19 mean?- Over many such guessed tests, the average number correct is about 19
- The student will get exactly 19 right
- 19 is the largest possible score
A multiple-choice test has 43 questions with 4 options each. A student guesses every answer. What does E(X) = \frac{43}{4} mean?- Over many such guessed tests, the average number correct is about \frac{43}{4}
- The student will get exactly \frac{43}{4} right
- \frac{43}{4} is the largest possible score
A multiple-choice test has 54 questions with 4 options each. A student guesses every answer. What does E(X) = \frac{27}{2} mean?- Over many such guessed tests, the average number correct is about \frac{27}{2}
- The student will get exactly \frac{27}{2} right
- \frac{27}{2} is the largest possible score
A multiple-choice test has 93 questions with 4 options each. A student guesses every answer. What does E(X) = \frac{93}{4} mean?- Over many such guessed tests, the average number correct is about \frac{93}{4}
- The student will get exactly \frac{93}{4} right
- \frac{93}{4} is the largest possible score
A multiple-choice test has 90 questions with 4 options each. A student guesses every answer. What does E(X) = \frac{45}{2} mean?- Over many such guessed tests, the average number correct is about \frac{45}{2}
- The student will get exactly \frac{45}{2} right
- \frac{45}{2} is the largest possible score
A multiple-choice test has 53 questions with 4 options each. A student guesses every answer. What does E(X) = \frac{53}{4} mean?- Over many such guessed tests, the average number correct is about \frac{53}{4}
- The student will get exactly \frac{53}{4} right
- \frac{53}{4} is the largest possible score
A multiple-choice test has 79 questions with 4 options each. A student guesses every answer. What does E(X) = \frac{79}{4} mean?- Over many such guessed tests, the average number correct is about \frac{79}{4}
- The student will get exactly \frac{79}{4} right
- \frac{79}{4} is the largest possible score
- Each call reaches a customer with probability 1/2, independently. Find P(the first success is on call 2).Each call reaches a customer with probability 1/4, independently. Find P(the first success is on call 2).Each call reaches a customer with probability 1/2, independently. Find P(the first success is on call 6).Each call reaches a customer with probability 1/2, independently. Find P(the first success is on call 4).Each call reaches a customer with probability 1/3, independently. Find P(the first success is on call 4).Each call reaches a customer with probability 1/4, independently. Find P(the first success is on call 4).Each call reaches a customer with probability 1/5, independently. Find P(the first success is on call 2).Each call reaches a customer with probability 1/6, independently. Find P(the first success is on call 6).Each call reaches a customer with probability 1/3, independently. Find P(the first success is on call 6).Each call reaches a customer with probability 1/6, independently. Find P(the first success is on call 4).Each call reaches a customer with probability 1/2, independently. Find P(the first success is on call 5).Each call reaches a customer with probability 1/3, independently. Find P(the first success is on call 3).Each call reaches a customer with probability 1/6, independently. Find P(the first success is on call 2).Each call reaches a customer with probability 1/4, independently. Find P(the first success is on call 3).Each call reaches a customer with probability 1/3, independently. Find P(the first success is on call 2).Each call reaches a customer with probability 1/6, independently. Find P(the first success is on call 5).Each call reaches a customer with probability 1/4, independently. Find P(the first success is on call 6).Each call reaches a customer with probability 1/5, independently. Find P(the first success is on call 4).Each call reaches a customer with probability 1/6, independently. Find P(the first success is on call 3).Each call reaches a customer with probability 1/3, independently. Find P(the first success is on call 5).Each call reaches a customer with probability 1/4, independently. Find P(the first success is on call 5).Each call reaches a customer with probability 1/2, independently. Find P(the first success is on call 3).Each call reaches a customer with probability 1/5, independently. Find P(the first success is on call 6).Each call reaches a customer with probability 1/5, independently. Find P(the first success is on call 5).Each call reaches a customer with probability 1/5, independently. Find P(the first success is on call 3).
- A die-like spinner shows 'win' with probability 1/10. On average, how many spins are needed to get the first win?A die-like spinner shows 'win' with probability 1/6. On average, how many spins are needed to get the first win?A die-like spinner shows 'win' with probability 1/3. On average, how many spins are needed to get the first win?A die-like spinner shows 'win' with probability 1/7. On average, how many spins are needed to get the first win?A die-like spinner shows 'win' with probability 1/4. On average, how many spins are needed to get the first win?A die-like spinner shows 'win' with probability 1/5. On average, how many spins are needed to get the first win?A die-like spinner shows 'win' with probability 1/12. On average, how many spins are needed to get the first win?A die-like spinner shows 'win' with probability 1/2. On average, how many spins are needed to get the first win?A die-like spinner shows 'win' with probability 1/11. On average, how many spins are needed to get the first win?A die-like spinner shows 'win' with probability 1/9. On average, how many spins are needed to get the first win?A die-like spinner shows 'win' with probability 1/8. On average, how many spins are needed to get the first win?
- Each attempt succeeds with probability 1/7. Find P(the first success comes within the first two attempts).Each attempt succeeds with probability 1/9. Find P(the first success comes within the first two attempts).Each attempt succeeds with probability 1/3. Find P(the first success comes within the first two attempts).Each attempt succeeds with probability 1/4. Find P(the first success comes within the first two attempts).Each attempt succeeds with probability 1/8. Find P(the first success comes within the first two attempts).Each attempt succeeds with probability 1/6. Find P(the first success comes within the first two attempts).Each attempt succeeds with probability 1/5. Find P(the first success comes within the first two attempts).
Answers
- 0.1, 0.5 and 4/100.2, 0.5 and 3/100.4, 0.5 and 1/100.3, 0.5 and 2/10
- The number of heads in 9 tosses of a fair coinThe number of heads in 17 tosses of a fair coinThe number of heads in 6 tosses of a fair coinThe number of heads in 7 tosses of a fair coinThe number of heads in 12 tosses of a fair coinThe number of heads in 15 tosses of a fair coinThe number of heads in 20 tosses of a fair coinThe number of heads in 14 tosses of a fair coinThe number of heads in 11 tosses of a fair coinThe number of heads in 18 tosses of a fair coinThe number of heads in 19 tosses of a fair coinThe number of heads in 13 tosses of a fair coinThe number of heads in 16 tosses of a fair coinThe number of heads in 8 tosses of a fair coinThe number of heads in 5 tosses of a fair coinThe number of heads in 10 tosses of a fair coin
- Over many such guessed tests, the average number correct is about \frac{87}{4}Over many such guessed tests, the average number correct is about \frac{21}{2}Over many such guessed tests, the average number correct is about \frac{21}{4}Over many such guessed tests, the average number correct is about \frac{39}{2}Over many such guessed tests, the average number correct is about 25Over many such guessed tests, the average number correct is about \frac{19}{2}Over many such guessed tests, the average number correct is about \frac{89}{4}Over many such guessed tests, the average number correct is about \frac{51}{4}Over many such guessed tests, the average number correct is about \frac{49}{2}Over many such guessed tests, the average number correct is about 24Over many such guessed tests, the average number correct is about 17Over many such guessed tests, the average number correct is about \frac{67}{4}Over many such guessed tests, the average number correct is about \frac{29}{2}Over many such guessed tests, the average number correct is about \frac{57}{4}Over many such guessed tests, the average number correct is about \frac{35}{2}Over many such guessed tests, the average number correct is about \frac{85}{4}Over many such guessed tests, the average number correct is about \frac{61}{4}Over many such guessed tests, the average number correct is about \frac{13}{2}Over many such guessed tests, the average number correct is about \frac{37}{2}Over many such guessed tests, the average number correct is about \frac{49}{4}Over many such guessed tests, the average number correct is about 6Over many such guessed tests, the average number correct is about \frac{27}{4}Over many such guessed tests, the average number correct is about 8Over many such guessed tests, the average number correct is about 5Over many such guessed tests, the average number correct is about \frac{35}{4}Over many such guessed tests, the average number correct is about \frac{23}{2}Over many such guessed tests, the average number correct is about 11Over many such guessed tests, the average number correct is about \frac{11}{2}Over many such guessed tests, the average number correct is about \frac{29}{4}Over many such guessed tests, the average number correct is about 16Over many such guessed tests, the average number correct is about \frac{63}{4}Over many such guessed tests, the average number correct is about \frac{15}{2}Over many such guessed tests, the average number correct is about \frac{99}{4}Over many such guessed tests, the average number correct is about \frac{25}{4}Over many such guessed tests, the average number correct is about \frac{69}{4}Over many such guessed tests, the average number correct is about \frac{25}{2}Over many such guessed tests, the average number correct is about 21Over many such guessed tests, the average number correct is about \frac{23}{4}Over many such guessed tests, the average number correct is about \frac{65}{4}Over many such guessed tests, the average number correct is about \frac{73}{4}Over many such guessed tests, the average number correct is about \frac{71}{4}Over many such guessed tests, the average number correct is about \frac{33}{4}Over many such guessed tests, the average number correct is about \frac{45}{4}Over many such guessed tests, the average number correct is about 19Over many such guessed tests, the average number correct is about \frac{43}{4}Over many such guessed tests, the average number correct is about \frac{27}{2}Over many such guessed tests, the average number correct is about \frac{93}{4}Over many such guessed tests, the average number correct is about \frac{45}{2}Over many such guessed tests, the average number correct is about \frac{53}{4}Over many such guessed tests, the average number correct is about \frac{79}{4}