Question: Assume that (X, Y ) have the joint density f(x, y) = cxy2 for 0 x 1, 0 y 1, and

Assume that (X, Y ) have the joint density f(x, y) = cxy2 for 0 ≤ x ≤ 1, 0 ≤ y ≤ 1, and f(x, y)=0, otherwise. Find: (i)

c. (ii) P{X2 ≤ Y ≤ X}. (iii) The cdf of (X, Y ).

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