3 Suppose that X and Y are two independent random variables

Last updated: 3/30/2023

3 Suppose that X and Y are two independent random variables P X a Y b P X a P Y b for any a b and X Binom n p and Y Binom m p Compute the probability P X Y k and show that X Y has a binomial distribution with parameters n m and p Hint Use n m m m 8 F 1 0