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A manufacturer knows that their items have a lengths that are skewed right, with a mean of 15.2 inches, and standard deviation of 1.4 inches.

A manufacturer knows that their items have a lengths that are skewed right, with a mean of 15.2 inches, and standard deviation of 1.4 inches. If 50 items are chosen at random, what is the probability that their mean length is greater than 15.8 inches? (Round answer to four decimal places)

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