3. [6 pts] Let X1, . . . , Xn be a random sample from a distribution with variance ?² < ?. Find cov(Xi - X?, X?) for i = 1, . . . , n.
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Step 1: Calculate the covariance of Xi and Xn using the formula cov(Xi, Xn) = E[(Xi - E[Xi])(Xn - E[Xn])]. Show more…
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