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{10 pts} Suppose that customers arrive at some shop following a nonsta tionary Poisson process with rate function given: 5 Eu =I+e-t 2 Mt) Assume

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{10 pts} Suppose that customers arrive at some shop following a nonsta tionary Poisson process with rate function given: 5 Eu =I+e-t 2 Mt) Assume that time is measured in hours after 8:00 a.m. and that the rate function gives customers/hour. For example, at 10:00 a.m., customers are 5 E m 1.9 customers/hour. 1 + 3'2 2 What is the prnzsa'lzuiiitjr that at least one customer arrives between 11:00 and 11:30 a.m.? Hint.- arriving at a rate given by M2) = 1 t _ f1+e_ads=log(e +1)+C and you can use this fact without deriving it

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