4. (15 points) Prove the followings. (a) (5 points) If cov(X,Y) = 0, X and Y are unrelated. (b) (5 points) cov(X, aY) =
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4. (15 points) Prove the followings. (a) (5 points) If cov(X,Y) = 0, X and Y are unrelated. (b) (5 points) cov(X, aY) =
4. (15 points) Prove the followings. (a) (5 points) If cov(X,Y) = 0, X and Y are unrelated. (b) (5 points) cov(X, aY) = acov(X,Y). b (c) (5 points) cov(aX + b, ay) = a_cov(X,Y). =
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