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Heights of 18-year-old men are approximately normally distributed, with mean 68 inches and standard deviation 3 inches.

a. What is the probability that an 18-year-old man selected at random is between 67 and 69 inches tall?

b. If a random sample of nine 18-year-old men is selected, what is the probability that the men height is between 67 and 69 inches?

c. Compare the answer for a and b. Is the probability in part b much higher? Why would you expect this?

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