Suppose that the number of customers who enter?a bank in

Chapter 3, Problem 159E

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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.

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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:

                 

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