Let X1, X2,... be indipendent Bern(0,5) random variables, then for a large FIXED n what is the APPROXIMATE distribution

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answerhappygod
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Let X1, X2,... be indipendent Bern(0,5) random variables, then for a large FIXED n what is the APPROXIMATE distribution

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Let X1, X2,... be indipendent Bern(0,5) random variables, then for a large FIXED n what is the APPROXIMATE distribution of the sample mean (X1+...+Xn)/n ?
[The answer is NOT a degenerate distribution]
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