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Problem 5 A post office has three clerks, each of whom is serving a customer. The service times are i.i.d. Exp(M). A new customer will

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Problem 5 A post office has three clerks, each of whom is serving a customer. The service times are i.i.d. Exp(M). A new customer will arrive after Exp()) units of time, independently of the others. Find the probability that all the three existing customers finish their services before the arrival

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