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Suppose rvs X, Y are uniform on { x2 + y2 < 2} 1. Find P ( 0 < x < 1, 0 < y

Suppose rvs X, Y are uniform on { x2 + y2 < 2} 1. Find P ( 0 < x < 1, 0 < y < x} Include a picture. 2. Find E(X) ,E(Y) and cov(X,Y) 3. Are X and Y independent? Explain.

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