Solution: X_1,...,X_64 are identically distributed independent random variables such that E(X_i)=3.1 and Var(X_i)=9 . What is the standard deviation of


Question: \({{X}_{1}},...,{{X}_{64}}\) are identically distributed independent random variables such that

\(E({{X}_{i}})=3.1\) and \(Var({{X}_{i}})=9\) . What is the standard deviation of their average?

In other words, what is the standard deviation of \(X=\frac{{{X}_{1}}+...+{{X}_{64}}}{64}\) ?

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