Question: Let X1, ..., Xn be independent and identically distributed random variables having expected value and variance 2, Let = = /n be the sample mean.

Let X1, ..., Xn be independent and identically distributed random variables having expected value and variance 2, Let = = /n be the sample mean. The quantities Xi X, i = 1,...,n, are called deviations, as they equal the differences between the individual data and the sample mean. The random variable S2= ( = - )/(n-1) is called the sample variance. Find (a) Var(X) and (b) E[S2]

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