Problem 3. (8 points) The joint distribution of two random variables X and Y is uniform over the triangle {(x, y) = R22

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Problem 3 8 Points The Joint Distribution Of Two Random Variables X And Y Is Uniform Over The Triangle X Y R22 1 (90.14 KiB) Viewed 44 times

Problem 3. (8 points) The joint distribution of two random variables X and Y is uniform over the triangle {(x, y) = R22 > 0,7 0,2 +y < 1}. That is So if x > 0, y = 0,x+y<1, fx,y(x,y) = 0 otherwise. »= { ♡ (1 point) Find c. ♡ (1 point) Are X and Y independent? ♡ (2 points) Find P(X > 2Y). ♡ (2 points) The marginal distribution of X is given by fx(x) = ♡ (2 points) Find Cov(X,Y).