2. An urn contains n balls labeled 1, 2,..,n. Two balls are going to be selected, one at a time, at random with replacement. Let X denote the label of the first ball and Y denote the label of the second ball.
(a) If n= 10, what is the probability the first ball drawn has a number that is at least twice as large as the second ball drawn?
(b) If n = 10, what is the distribution for f(X, Y) = |X - Y|, the absolute value of the
difference in the numbers on the balls?
(c) Find a formula, based on n, for the distribution of |X - Y|. Then find E(IX - Y|).