The following question is more challenging. You should attempt it if you are aiming for an HD grade for the course.

Consider the binomial distribution given by the probabilities:

$B(m+n$;$n,p)=\frac{(m+n)!}{m!n!}{p}^m{q}^n.$

Let $m={10}^3,n={10}^2$ and $p={10}^{-2},q=1-p.$

Use Matlab or Python to compute $logB(m+n$;$n,p)$ and store the value in $logB.$ USING MATLAB, please