(a) 0.19

(b) 0.20

(c) 0.29

(d) 0.39

(e) 0.61

(a) 0.90.

(b) 0.25.

(c) 0.65.

(d) 0.15.

(e) 1.00.

(a) 1500.

(b) 0.

(c) 3000.

(d) 3250.

(e) –1500.

50.3%

9.6%

0%

11.95%

9.2%

0.2119

0.2881

0.5319

0.7881

0.8450

Y has a binomial distribution with n = 40 observations and probability of success p = 0.5.

Y has a binomial distribution with n = 40 observations and probability of success p = 0.5, provided the deck is shuffled well.

Y has a binomial distribution with n = 40 observations and probability of success p = 0.5, provided that after selecting a card it is replaced in the deck and the deck is shuffled well before the next card is selected.

Y has a geometric distribution with n = 40 observations and probability of success p = 0.5.

Y has a geometric distribution with n = 52 observations and probability of success p = 0.5.

The binomial setting requires that there are only two possible outcomes for each trial, while the geometric setting permits more than two outcomes.

A geometric random variable takes on integer values from 0 to n.

If X is a geometric random variable and the probability of success is 0.85, then the probability distribution of X will be skewed left, since 0.85 is closer to 1 than to 0.

An important difference between binomial and geometric random variables is that there is a fixed number of trials in a binomial setting, and the number of trials varies in a geometric setting.

The distribution of every binomial random variable is skewed right.