8. Suppose that in a community the distributions of heights of men and women (in centimeters) are...

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8. Suppose that in a community the distributions of heights of men and women (in centimeters)

are N(173, 40) and N(160, 20), respectively. Calculate the probability that the average height of 10 randomly selected men is at least 5 centimeters larger than the average height of six randomly selected women.

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