Solution) Let X_1,...,{{X}_{10}} be identically distributed independent random variables such that E(X_i)=1


Question: Let \[{{X}_{1}},...,{{X}_{10}}\] be identically distributed independent random variables such that

\[E({{X}_{i}})=1\] and \[Var({{X}_{i}})=4\]. What is the standard deviation of a random variable \[X\], where \[X=\] \[\frac{{{X}_{1}}+...+{{X}_{10}}}{10}\] ? (8 points)

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