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The heights of 18-year-old men are approximately normally distributed with a mean of 68 inches and...

The heights of 18-year-old men are approximately normally distributed with a mean of 68 inches and a standard deviation of 3 inches.
(a) What is the probability that an 18-year-old man selected at random is between 67 and 69 inches tall?
(b) For a sample of 36 18-year-old men, what is the probability that the average of their heights is between 67 and 69 inches?

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