Using Python Language

Preblem :(Acceptance-Rejection Method) As explained in the lecture, the acceptance-rejection algorithm for continuous random numbers x with pdf fRx) is given by l) Choose a pdf g 2) Find a constant M such that f(x) sMg(x) for all x Generate a random number from g Generate uniformly distributed random r with 5) raccetand return r, otherwise reject and go to step 3) Mg(z) Generate random mumbersx with pdfpx)given by Fx) -xe (Rayleigh distribution function with shape parameter I) a) Choose an exponential pdf gx)-with A-1. Verify that the condition f(x) S Mg(x)is fulfilked if the constant is given by M-2.2 Write a python script Ffine: Plot both graph fx) and glx) together in one figure) b) Write a python seript that generate Rayleigh distributed random nambers by implementing the following steps L. Generate exponentially distributed random number: from gvz) for - 2. Generate uniformly distributed random r in [0,1) f(z) accept and return Mo(z) else reject and go to step c) Plot the histogram of the generated sequence vs sequence yy drawn from the python function raylrnd(,Je4.)