Let X and Y have the following joint probability density

Chapter , Problem 18

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Let X and Y have the following joint probability density function f (x, y) = B 8xy if 0 < x y < 1 0 otherwise. (a) Calculate Var(X + Y ). Section 10.2 Covariance 427 (b) Show thatX and Y are not independent. Explain why this does not contradict Exercise 23 of Section 8.2.

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