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The age of professors at a certain university is normally distributed with an average of 45.0 years and a standard deviation of 6.0 years. If

The age of professors at a certain university is normally distributed with an average of 45.0 years and a standard deviation of 6.0 years.

If 16 professors are chosen at random for a committee, find the probability that theaverageage of those professors is less than 42.0 years.

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