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1. [Joint pdfs of functions of random variables] Suppose X and Y have joint pdf fx.y, and W = 2X - Y and Z =

1. [Joint pdfs of functions of random variables] Suppose X and Y have joint pdf fx.y, and W = 2X - Y and Z = X + 2Y. (a) Find the pdf of Z. Express it in terms of fx,y. (b) Express the joint pdf of W and Z in terms of fx.v

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