Write a Python 3 code for the following parts:
![(a) 13 points] Generate a sample path of Poisson process {N(t)0 with intensity 10 Plot the sample path of N(.) for the time interval [0, 10 (b) 13 points] Investors purchase $1000 bonds at the random times of a Poisson process N(t) 〉 0 with parameter 10 . With the interest rate r = 0.03 (constant), the present value (that is, at time 0 value) of an investment purchased at time t is given by 1000et. The present value X(t) of the bonds purchased by time t is defined by N (t) i=1 where Wi, W2, .. are the event times of N(). Generate a sample path of X(t), t20. c[4 points] Estimate E[X (5)] by simulating X () many times. Estimate Var(X(5)). Com pare with the theoretical values (see (9).](http://d2vlcm61l7u1fs.cloudfront.net/media%2F93b%2F93bdfc48-7b53-4005-ad3f-9e4642a680ca%2FphpEX9Osr.png)
(a)
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(Solved) : 13 Points Generate Sample Path Poisson Process N T 0 Intensity 10 Plot Sample Path N Time Q26470530 . . . .
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