Problem $3$

Write a program to estimate the mean free path $($MFP$)$ for a particle traveling in a medium, where

the path length $r$ is sampled from a PDF given by $p(r)=e^{-r},$ with $=1\mathrm{.}00c{m}^{-1}.$ Try the

following three PRNGs$,$ instead of using the uniform sample generator in Python or MATLAB.

Compare the MC estimated MFP and the analytical MFP$.$

Case A: $a=65539,x_0=1,b=1,M=2^{24}$

Case B: $a=65541,x_0=1,b=1,M=2^{24}$

Case C: $a=16333,x_0=1,b=1,M=2^{24}$