Question: If a customer arrives in the queue at time t , find the moment generating function of the total time which it spends in the

If a customer arrives in the queue at time t , find the moment generating function of the total time which it spends in the system, including its service time. Deduce that this time has the exponential distribution with parameter μ(1 − ρ).

19. Customers arrive at the door of a shop according to a Poisson process with rate λ, but they are unwilling to enter a crowded shop. If a prospective customer sees k people inside the shop, he or she enters the shop with probability ( 1

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