Question: (a) If x1,, xT is a random sample with mean ???? and variance ????2, and s2 is defined in (1.3), show that E(s2) = ????2.

(a) If x1,…, xT is a random sample with mean ???? and variance ????2, and s2 is defined in (1.3), show that E(s2) = ????2.

(b) If (xt, yt) for t = 1,…, T is a random sample of pairs with means ????x and ????y and covariance ????xy, and sxy is defined in (1.9), show that E(sxy) = ????xy.

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