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Asked Feb 8, 2020
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QUESTION 4
People arrive at a store based on a nonhomogeneous Poisson process with the following intensity function (t=0 corresponds to 9am).
From 9 am to 11 am, it is constant and 5 per hour. Then, it linearly increases to 15 by noon. Thereafter, It decreases linearly to 5 by 3pm, and
remains constant at 5 afterwards (until 5 pm, COB).
What is the average number of arrived customers between 10 am and 1 pm?
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QUESTION 4 People arrive at a store based on a nonhomogeneous Poisson process with the following intensity function (t=0 corresponds to 9am). From 9 am to 11 am, it is constant and 5 per hour. Then, it linearly increases to 15 by noon. Thereafter, It decreases linearly to 5 by 3pm, and remains constant at 5 afterwards (until 5 pm, COB). What is the average number of arrived customers between 10 am and 1 pm?

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From the given information, the people arrive at a store based on a non-homogeneous Poisson process with intensity function,

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