be a nonhomogeneous Poisson process with mean value function m(t). Given N(t) = n,

(a) Let {N (t), t  width= 0} be a nonhomogeneous Poisson process with mean value function m(t). Given N(t) = n, show that the unordered set of arrival times has the same distribution as n independent and identically distributed random variables having distribution function

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(b) Suppose that workmen incur accidents in accordance with a nonhomogeneous Poisson process with mean value function m (t). Suppose further that each injured man is out of work for a random amount of time having distribution F. Let X (t) be the number of workers who are out of work at time t. By using part (a), find E[X (t)].

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