Let X and Y be jointly distributed with joint probability

Chapter , Problem 20

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Let X and Y be jointly distributed with joint probability density function f (x, y) = 1 2 x3 exyx if x > 0, y > 0 0 otherwise. Determine if X and Y are positively correlated, negatively correlated, or uncorrelated. Hint: Note that for all a > 0, # 0 xneax dx = n!/an+1.

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