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Suppose that the time it takes to complete a Ph.D. in mathematics is normally distributed with...

Suppose that the time it takes to complete a Ph.D. in mathematics is normally distributed with a mean of 5.8 years and a standard deviation of 0.7 years. Find the probability that a random sample of 15 mathematicians has an average time to completion of under 5.5 years. (round to three decimal places)

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