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Mathematics, 24.04.2020 00:25 jcrowley9362

Customers arrive at a certain facility according to a Poisson process of rate A. Suppose that it is known that five customers arrived in the first hour. Each customer spends a time in the store that is a random variable, exponentially distributed with parameter a and independent of the other customer times, and then departs. What is the probability that the store is empty at the end of this first hour

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