Solution Found!
Suppose that the number of customers who enter?a bank in
Chapter 3, Problem 159E(choose chapter or problem)
Problem 159E
Suppose that the number of customers who enter◊a bank in an hour is a Poisson random variable, and suppose that P(X = 0) = 0.05. Determine the mean and variance of X.
Questions & Answers
QUESTION:
Problem 159E
Suppose that the number of customers who enter◊a bank in an hour is a Poisson random variable, and suppose that P(X = 0) = 0.05. Determine the mean and variance of X.
ANSWER:
Solution 159E
Step1 of 2:
Let us consider a random variable X it presents the number of customers entered in a bank in an one hour. Also we have P(X = 0) = 0.05.
We need to determine the mean of X.
Step2 of 2:
Suppose that a random variable X follows Poisson distribution with parameters ‘’
Then, the probability mass function of poisson distribution is given by: