probability

Problem 5 In this problem you will generate a binomial random variable With parameters n and p using the inverse transform method described in class. Let X N Bin(n,p). Recall that the p.m.f of X is given by n p(k) : P(X : k) : (k)pk(l p)n_k, k : 0,1,2,-~~ ,n. (a) Verify that n k p P(k+1)=k+1'fp' p(k)a k20712"':n_1' (1)) Write the inverse transform method for generating X that utilizes the relation in part (a)