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A random sample of n items is to be taken from a distribution with mean and standard deviation . a) Use the Chebyshev inequality to

A random sample of n items is to be taken from a distribution with mean and standard deviation . a) Use the Chebyshev inequality to determine the smallest number of items n that must be taken in order to satisfy the following relation: P(|Xn | /4) 0.99. b) Use the central limit theorem to determine the smallest number of items n that must be taken in order to satisfy the relation in part (a) approximately.

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