11. Assume the geometric distribution applies. Use the given probability of success p to find the indicated probability.
Find P(5) when p = 0.10.
P(5) = 0.06561 (Round to five decimal places as needed.)
12. Given that x has a Poisson distribution with µ = 9, what is the probability that x = 7?
P(7) ≈ 0.1144 (Round to four decimal places as needed.)
13. Given that x has a Poisson distribution with µ = 1.6, what is the probability that x = 2?
P(2) ≈ 0.2584 (Round to four decimal places as needed.)
14. Describe the difference between the value of x in a binomial distribution and in a geometric distribution.
Choose the correct answer below.
A. In a binomial distribution, the value of x represents the first trial that results in a success,
while in a geometric distribution, the value of x represents the number of successes in n trials.
B. In a binomial distribution, the value of x represents the number of successes in n trials, while
in a geometric distribution, the value of x represents the first trial that results in a success.
C. In a binomial distribution, the value of x represents the number of occurrences in one interval,
while in a geometric distribution, the value of x represents the number of successes in n trials.
D. In a binomial distribution, the value of x represents the number of successes in n trials, while
in a geometric distribution, the value of x represents the number of occurrences in one
interval.
**B.**
15. Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if
the events are unusual. If convenient, use the appropriate probability table or technology to find the probabilities.
Assume the probability that you will make a sale on any given telephone call is 0.16. Find the probability that you (a) make your first sale
on the fifth call, (b) make your first sale on the first, second, or third call, and (c) do not make a sale on the first three calls.
(a) P(make your first sale on the fifth call) = 0.073 (Round to three decimal places as needed.)
(b) P(make your first sale on the first, second, or third call) = 0.408 (Round to three decimal places as needed.)
(c) P(do not make a sale on the first three calls) = 0.592 (Round to three decimal places as needed.)
Which of the events are unusual? Select all that apply.
A. The event in part (a), "make your first sale on the fifth call", is unusual.
B. The event in part (b), "make your first sale on the first, second, or third call", is unusual.
C. The event in part (c), "do not make a sale on the first three calls", is unusual.
D. None of the events are unusual.
**A, C**