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please help and show me all the workings thanks. Problem 3 (4 marks) Consider two continuous random variables X and Y whose joint pdf is

please help and show me all the workings thanks.

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Problem 3 (4 marks) Consider two continuous random variables X and Y whose joint pdf is given by f (x, y ) = exty , X > 0, y > O. (a) Determine the covariance between X - 2Y and Y - X2. (b) Find and sketch the pdf of U =2-Y2. (c) Find and sketch the pdf of V = X + Y. (d) Find and sketch the pdf of W = max(X, Y)

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