Question: Using python to do following questions (a) Simulate a non-homogeneous Poisson process whose mean value function is given by m(t) =t2 + 2t, t 0

Using python to do following questions

(a) Simulate a non-homogeneous Poisson process whose mean value function is given by m(t) =t2 + 2t, t 0 .

(b) Repeat 1000 times to estimate E[T1] and Var(T1), where T1 is the first event time.

(c) Repeat 1000 times to estimate the probability that 1 event occurs between times t = 4 and t = 5 .

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