Suppose that the times between successive arrivals of customers at a single-server station are independent random variables

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Suppose that the times between successive arrivals of customers at a single-server station are independent random variables having a common distribution F. Suppose that when a customer arrives, he or she either immediately enters service if the server is free or else joins the end of the waiting line if the server is busy with another customer. When the server completes work on a customer that customer leaves the system and the next waiting customer, if there are any, enters service. Let X, denote the number

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