Let a random experiment be the casting of a pair of fair six-sided dice and let x equal the minimum of the two outcomes. (a) with reasonable assumptions, find the pmf of x. (b) draw a probability histogram of the pmf of x. (c) let y equal the range of the two outcomes (i. e., the absolute value of the difference of the largest and the smallest outcomes). determine the pmf g(y) of y for y = 0, 1, 2, 3, 4, 5. (d) draw a probability histogram for g(y).