Suppose that you arrive at a single-teller bank to find five other customers in the bank, one being served and the other four waiting in line. You join the end of the line. If the service times are all exponential with rate $\mu$, what is the expected amount of time you will spend in the bank?
Added by Alan K.
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Let $R$ be the random variable representing the service time of the customer currently being served. Show more…
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