50. Let X₁, X2,..., X50 be i.i.d. with E(X;) = 25 and V(X;) = 10. Consider the random variable defined by 50 the sample average X = X Apply the Central Limit Theorem to answer the following: n i=1 (a) What is the approximate distribution of X (include parameter(s))? (b) Approximate P(X> 25.5). (c) Approximate P(|X-25 <0.8).

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