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Customers arrive at a service facility according to a Poisson process of rate customers/hour. Let N(t) be the number of customers that have arrived up

Customers arrive at a service facility according to a Poisson process of rate customers/hour. Let N(t) be the number of customers that have arrived up to time t. Let S1, S2. . . be the successive arrival times of the customers.

(d) Determine the conditional mean E[S5|N(t) = 3].

Please answer part d.

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