Question

Assume the geometric distribution applies. Use the given probability of success p to find the indicated probability.

Find​P(5​) when p=0.60

​P(5​)=

​(Round to five decimal places as​ needed.)

2.

Given that x has a Poisson distribution with μ=5​, what is the probability that x=5​?

​P(5​)≈

3.

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 0.23

Find the probability that you​ (a) make your first sale on the fifth​ call, (b) make your sale on the​ first, second, or third​ call, and​ (c) do not make a sale on the first three calls.

4.

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.

The mean number of births per minute in a country in a recent year was about

five. Find the probability that the number of births in any given minute is​ (a) exactly

six​, ​(b) at least six and​ (c) more than six.

Answer 1