Given a distribution X ∼ N(50,4). Suppose you form random samples of 25 from the
distribution. Let X be the random variable of averages and ? X be the random variable of sums.
(a) What is the mean and the standard deviation of X?(b) What is the mean and the standard deviation of ?X?(c) Find the probability P (X <>
(d) Find the probability P (? X > 200).
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