Suppose I toss four dice independently of each other. Define the following random variables as follows X = the largest of the four dice rolls. Y = the smallest of the four dice rolls. Z = the sum of the four dice rolls.

(a) What is X((2, 5, 6, 1))?

(b) What is Y((2, 5, 6, 1))?

(c) What is Z((2, 5, 6, 1))?

(d) Are these discrete or continuous random variables? Why?