AP Stats Simulations on AP Exam

A game of chance is played in which X, the number of points scored in each game, has the distribution shown above. Which of the following is true for the sampling distribution of the sum, Y, of the scores when the game is played twice?

• Y takes on values 0, 1, 2 with respective probabilities 0.3, 0.4, and 0.3.

• Y takes on values 0, 2, 4 according to a binomial distribution with mean equal to 2.

• Y takes on values 0, 2, 4 with respective probabilities 0.3, 0.4, and 0.3.

• Y takes on values 0, 1, 2, 3, 4 according to a binomial distribution with mean equal to 2.

• Y takes on values 0, 1, 2, 3, 4 with respective probabilities 0.09, 0.24, 0.34, 0.24, and 0.09.

Which of the following is the best estimate of the standard deviation of the distribution in the figure?

• 18

• 9

• 54

• 97

• 106

Identify the shaded area...

• A

• B

• A'

• B'

Identify the shaded area...

• A∩B

• A∪B

• A'∩B'

• A'∪B'

• A

• B

• C

• D

• E

Is this a probability distribution?

• No

• Yes

Is this a probability distribution?

• No, the sum of p(x) does not equal 1.

• Yes, all p(x) are between 0 and 1.

• No, all p(x) are not between 0 and 1.

• Yes, the sum p(x) is 1.

These symbols represent the mean and standard deviation for which of the following distributions?

• The Population

• The Sample

• The Sampling Distribution