1. The problem statement, all variables and given/known data Let X and Y be independent binomial random variables with parameters n and p. Find the PMF of X+Y. Find the conditional PMF of X given that X+Y=m. 2. Relevant equations The PMF of X is P(X=k)=(n C k)pk(1-p)n-k The PMF for Y would be the same. 3. The attempt at a solution I am really not sure how to go about solving this problem though I have been told that the first part can be done with no computation or calculations at all. Not sure at all on the second part.