55. Consider a single server queuing system where customers arrive according to a Poisson process with rate
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55. Consider a single server queuing system where customers arrive according to a Poisson process with rate λ, service times are exponential with rate μ, and customers are served in the order of their arrival. Suppose that a customer arrives and finds others in the system. Let X denote the number in the system at the moment that customer departs. Find the probability mass function of X.
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