. Suppose X = 1 with probability p and X = 0 with probability 1 p. If X=1, then one six-sided die is rolled. Let Y be the value of the die if one die is rolled, or the sum of the two dice if two dice are rolled. You can use the fact that for a single six-sided die, the variance of the random value rolled is 35/12. (a) Find E[Y ] (b) Find V ar(Y )