7 Show that if the joint probability density function of X and Y is f (x, y) 1 2 sin(x y) if 0 x 2 , 0 y 2 0 elsewhere, then there exists no linear relation between X and Y

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Question: 7. Show that if the joint probability density function of X and Y is f (x, y) = 1 2 sin(x +

7. Show that if the joint probability density function of X and Y is f (x, y) =    1 2 sin(x + y) if 0 ≤ x ≤ π 2 , 0 ≤ y ≤ π 2 0 elsewhere, then there exists no linear relation between X and Y .

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