Question 8: Let X and Y be independent random variables with non-negative integer values, show that P(X+Y=n)= _(k=0)^nP(X=k)P(Y=n-k)

If you feel difficult to prove for general k. You can give a proof for a special case, say, n=4. Your mark will be halved.

Please answer the above question and I will give you an upvote:)!