Question

Suppose that the number of customers who enter a bank in an hour is a Poisson random variable (), and suppose that P( = 0) = 0. 07. Determine the expected value of . Show your work.

Answer 1

The expected value of a Poisson random variable is equal to its mean, which in this case is 30.

Step-by-step explanation:

The expected value of a Poisson random variable is equal to its mean. In this case, the mean is given as 30 customers per hour (since X has a mean of 30). Therefore, the expected value of X is 30.