A flow of arrivals N t is a non-homogeneous Poisson process with the periodical intensity (t) =

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A flow of arrivals Nis a non-homogeneous Poisson process with the periodical intensity λ(t) = | sin πt|. The unit of time is a day.

(a) What is the intensity of arrivals at the end and at the beginning of each day? When is the intensity the largest?

(b) What are the mean and variance of the number of arrivals during a year?

(c) Estimate without long calculationsimage

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