Suppose that a customer of the

Suppose that a customer of the

Suppose that a customer of the  system spends the amount of time  waiting in queue before entering service.

(a) Show that, conditional on the preceding, the number of other customers that were in the system when the customer arrived is distributed as 1 + P, where P is a Poisson random variable with mean λ.

(b) Let  denote the amount of time that an  customer spends in queue. As a byproduct of your analysis in part (a), show that

Is this the question you were looking for? If so, place your order here to get started!