2) Let X & Y have the joint probability function f(x,y) = cx²y, -y ≤ x ≤ 1,0 ≤ y ≤ 1. i) Find c such that this is a proper probability function. ii) Find the marginal probability, expectation and variance of X and Y. iii) Find P(X ≤ 0) and P(0 ≤ y ≤ x ≤ 1).

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