5 Consider a one teller bank which operates as an M M 1 queueing system with firstcome, first served service order Suppose that customers arrive at a Poisson rate of , and their service times are exponential with mean 1 Suppose that when Nicholas enters the bank and joins the queue there are n 1 ot...

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5. Consider a one-teller bank which operates as an M/M/1 queueing system with firstcome, first-served service order.

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5. Consider a one-teller bank which operates as an M/M/1 queueing system with firstcome, first-served service order. Suppose that customers arrive at a Poisson rate of λ, and their service times are exponential with mean 1/μ. Suppose that when Nicholas enters the bank and joins the queue there are n − 1 other customers (n > 1) in the bank. Find the probability mass function of N, the number of customers Nicholas leaves behind when he departs.

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