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A manufacturer knows that their items have a lengths that are approximately normally distributed, with a mean of 9.2 inches, and standard deviation of 1.2

A manufacturer knows that their items have a lengths that are approximately normally distributed, with a mean of 9.2 inches, and standard deviation of 1.2 inches.

If 48 items are chosen at random, what is the probability that their mean length is greater than 8.8 inches?

(Round answer to four decimal places)

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