Question: Please answer all the question of attached pic Problem 3 (10pt): Consider a joint pdf PX, Y (I, y) = my, if 0 Y, which

Please answer all the question of attached pic

Problem 3 (10pt): Consider a joint pdf PX, Y (I, y) = my, if 0 Y, which we will denote as event C, P(X > Y) = P(C)? Problem 4 (10pt): For the joint pdf (3), provide a mathematical expression of the conditional pdf of random variable X, pxo(x|C), which is conditioned on the event C= {X > Y}. Plot the conditional pdf pxic(x|() against r. Problem 5 10 pt): For the joint pdf (3), find the conditional expected value of X, E(X|C, Y = 1/2) given both that event C occurred and the Y = 1/2. Problem 6 (10 pt): Let T = max(X, Y) and find the pdf for T for the joint pdf 3

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