5. Suppose that you have three biased coins and a fair die. Coin C has P{heads} = 1/3, while coins C2 and C3 have P{heads} = 1/4. Each part of this problem is unrelated to the other parts of the problem. a. Flip coin C 4 times and then flip coin C3 3 times. Let Y be the total number of heads that show. Find the pmf of Y. b. Roll the die and let N be the number showing. Then flip coin C N times. Let Z be the number of heads showing. Find E[Z].