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A uniform maker has a large order from a new branch of the

Question: A uniform maker has a large order from a new branch of the military. On average, the pants legs are 31 inches, with a standard deviation of 32 inches. Suppose six new recruits are chosen at random.

(a) Find the probability that their mean length is at least 29 inches.

(b) Find the probability that their length is in the 29-33 inch range.

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