Given the following joint pdf fx y 161 x y 0 le x le 2 2

Given the following joint p.d.f. f(x, y) = 1/6(1 - x - y), 0 le x le 2; 2 le y le 4 and zero otherwise Verify that f(x, y) is a joint density function. Calculate P(X le 3/2, Y le 5/2) Find marginal p.d.f. g(x) and h(y). Find E(X), E(Y) and E(XY) Are X and Y independent? Find COV(X, Y)

Solution

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