(4) Suppose you roll a pair of fair dice, each with sides labeled 1, 2, 3, 4, 5, 6. Let X denote the sum of the numbers showing on the two dice. Let Y denote the larger of the two numbers showing on...

Extracted text: (4) Suppose you roll a pair of fair dice, each with sides labeled 1, 2, 3, 4, 5, 6. Let X denote the sum of the numbers showing on the two dice. Let Y denote the larger of the two numbers showing on the two dice. (i.e. If the roll is (3, 5), then X : Y = 4.) 8 and Y = 5. If the roll is (4, 4), then X = 8 and (a) Describe the distribution of X. It might help to draw a 6 x 6 array to think about S and X. (b) Describe the distribution of Y. It might help to draw a 6 x 6 array to think about S and X. (c) Compute P(X 7) and P(X > 7). = 3) and P(Y < 3).="" (d)="" compute="" p(y:="" (e)="" compute="" p(x="7|Y" =="" 3)="" and="" p(x="7|Y" =="" 6).="" (f)="" are="" the="" events="" {x="7}" and="" {y="6}">