Suppose the heights of 18-year-old men are approximately normally distributed, with mean 66 inches and standard deviation 1 inches.
(a) What is the probability that an 18-year-old man selected at random is between 65 and 67 inches tall? (Round your answer to four decimal places.)
(b) If a random sample of eight 18-year-old men is selected, what is the probability that the mean height x is between 65 and 67 inches? (Round your answer to four decimal places.)
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