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A coffee shop always has a line of customers to serve. The serving times are independent and distributed exponentially with a mean of 5 minutes.

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A coffee shop always has a line of customers to serve. The serving times are independent and distributed exponentially with a mean of 5 minutes. Let S(t) be the number of customers served in the rst t hours of the day. (a) What is the expected value of 30:)? (b) What is the PMF of 3(t]

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