8. [13 points total] Let X be drawn from the Uniform[0, 4] distribution. Then conditional on X, now let Y be drawn from the Uniform[0, [X ]] distribution where [X ] indicates that X is rounded up to an integer. For example, if X = 1.5, then Y is drawn from Uniform [0, 2]. (a) [6 points] What is the support of the pair of random variables (X, Y)? To answer this question, you can either express your answer mathematically (using equations/inequalities/intervals/etc), or you can sketch the region on a graph. (b) [7 points] Calculate P(Y > X]