5 Max/Min Dice Rolls Note 15 Yining rolls three fair six-sided dice. (a) Let X denote the maximum of the three values rolled. What is the distribution of X (that is, P[X = x] for x = 1,2,3,4,5,6)? You can leave your final answer in terms of "x". [Hint: Try to first compute P[X x] for x = 1,2,3,4,5,6]. If you want to check your answer, you can solve this problem using counting and make sure it matches with the formula you derived. (b) Let Y denote the minimum of the three values rolled. What is the distribution of Y