Let X and Y have the joint density function 1 f(x, y): x > 1, y > 1. Let U = XY and V = 3X/Y. (a) What is the joint density function of U,V? 1 fu,v(u, v) 2u?v (b) On what domain is this defined? u > 1 and

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Q: [8] 6. Let Y1 and Y2 have joint density function J8y1y2 0< yı < y2 < 1 fY, x, (Y1, 42) = otherwise…

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Q: The joint density of X and Y is given by ey f(x, y) = 0 <x < y, 0 < y < ∞. Compute E(X²|Y = y).

A: solution is given below

Q: 3. Let X and Y have the joint density SCxy if 0 1) ?

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Q: 7.Find the value of k if f (x, y) = k(1- x)(1- y) for0 < x, y < 1 is to be joint density function.

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Q: Let Y, and Y, have joint density function [8,V2, 0<y, < y2<1 | 0, elsewhere Y, 1 and U, = Y2· Y, and…

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