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b) For the exponential distribution with mean a we know that E(X) = / Var (X ) = 12 so, for this distribution we have
b) For the exponential distribution with mean a we know that E(X) = / Var (X ) = 12 so, for this distribution we have o = /. The Central Limit Theorem states that for large n I ~ normal ((, o/ vn) or equivalently that Vn(X - ") ~ normal(0, 1) If we substitute o = / then we get Vn(X - /) 1 ~ normal(0, 1) Now let 2/2 be the usual normal critical value so that Pr (-20/2
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