Suppose that a customer

Suppose that a customer

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

Suppose that a customer

 

(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

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