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1. Let X1 and X2 be independent random variables, identically distributed uniformly on [1,1]. Let S = X1+ X2 and let T = X1 X2.

1. Let X1 and X2 be independent random variables, identically distributed uniformly on [1,1]. Let S = X1+ X2 and let T = X1 X2. (a) (2 pts) Find cov(S, T). Are 5 and T correlated? (b) (1 pt) Are 8 and T independent

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