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Problem 5 (20 points.) The sum of a list of 64 real numbers is to be computed. Suppose that numbers are rounded off to the

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Problem 5 (20 points.) The sum of a list of 64 real numbers is to be computed. Suppose that numbers are rounded off to the nearest integer so that each number has an error that is uniformly distributed in the interval (0.5, 0.5). Use the central limit theorem to estimate the probability that the total error in the sum of the 64 numbers exceeds 4

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