Question: People arrive at a store based on a non homogeneous Poisson process with the following intensity function (t-0 corresponds to 9am). From 9 am to

People arrive at a store based on a non homogeneous 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's the probability that at least 25 customers arrive by noon?

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