Let S = {(x, y, z) ER3 | x2 + 2 + 22

Let Let Y, z) IR3 1 Y 2 z2 I, z 0} 3 x volume of A 27r for any (Lebesgue measurable) subset A of S. Let x, and Y (x, y, z) y, z) e S. Find the joint pdf of random variables X and Y. Justify your answer. Let Let Y, z) IR3 1 Y 2 z2 I, z 0} 3 x volume of A 27r for any (Lebesgue measurable) subset A of S. Let x, and Y (x, y, z) y, z) e S. Find the joint pdf of random variables X and Y. Justify your answer.