Let X1, X2, ..., X, be a random sample from a population r.v. X, with range Rx c [a, b). Furthermore, suppose the mean and variance of X are unknown. Assume that n is large enough. (b – a)? (a) Show that Var(X) < b - a X+ z. b-a' where (ze) =1-". (b) Let a € (0, 1). Show that (X - Za

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