Question: 8.6.8 Let XI,. . . X , be independent random variables having the same distribution with a mean p and variance u2, Let 5? =

8.6.8 Let XI,. . . X , be independent random variables having the same distribution with a mean p and variance u2, Let 5? = (XI+ * + X n ) / n . Show that E { C ~ = ~ -( X7~) ’)= (n- 1)2[H. int: Since xi - X = (xi- p) - (X- p) , we have C:=,( X i - x)’= Cy=,((X-i p)’ - n(x- pl2.1

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