Problem 125E

Assume that each of your calls to a popular radio station has a probability of 0.02 of connecting, that is, of not obtaining a busy signal. Assume that your calls are independent.

(a) What is the probability that your first call that connects is your 10th call?

(b) What is the probability that it requires more than five calls for you to connect?

(c) What is the mean number of calls needed to connect?

Solution

Step 1 of 4

The calls to a popular radio station has a probability of 0.02

Let X be a no.of calls needed to connect radio station

Here X is following geometric distribution

The pmf of geometric distribution is