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(Solved) : 3 Suppose X Y Continuous Random Variables Joint Pdf X Y 24xy 0 X 0 Y X Y 1 Zero Otherwise Q33346780 . . .

3. Suppose X and Y are continuous random variables with joint pdf /(x, y) 24xy if 0 < x, 0 < y, and x + y < 1, and zero otherwise. (a) Find E(XY) (b) Find the covariance of X and Y. (c) Find the correlation coefficient of X and Y. (d) Find Cov(3X, 5Y). (e) Find Cov(X + 1, Y -2). (f) Find Cov(X +1, 5Y - 2). (g) Find Cov(3X 5, X)

3. Suppose X and Y are continuous random variables with joint pdf /(x, y) 24xy if 0 < x, 0 < y, and x + y < 1, and zero otherwise. (a) Find E(XY) (b) Find the covariance of X and Y. (c) Find the correlation coefficient of X and Y. (d) Find Cov(3X, 5Y). (e) Find Cov(X + 1, Y -2). (f) Find Cov(X +1, 5Y – 2). (g) Find Cov(3X 5, X) Show transcribed image text

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Answer to 3 Suppose X Y Continuous Random Variables Joint Pdf X Y 24xy 0 X 0 Y X Y 1 Zero Otherwise Q33346780 . . .

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