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............... Suppose that X and Y are described by a Joint PDF which is uniform inside the unit circle, that is, the set of points

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Suppose that X and Y are described by a Joint PDF which is uniform inside the unit circle, that is, the set of points that satisfy 9:2 l y2 g 1. In particular, the joint PDF takes the value of 1/7r on the unit circle. Let Z = \\/.X2 + Y2, which is the distance of the outcome (X, Y) from the origin. The PDF of Z, for z E [0, 1], takes the form fz (z) = 0.21]. Find a, and

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