Customers arrive at a shop on the average of one half call p

Customers arrive at a shop on the average of one half call per minute according to a Poisson process. Let X denote the waiting time unit the eighth call arrives.

a.

What is the pdf of X?

b.

What is the MGF

of X?

c.

What is the mean of X?

d.

What is the variance of X?

Solution