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The heights of 18 year-old men are approximately normally distributed, with mean 65 inches and standard...

The heights of 18 year-old men are approximately normally distributed, with mean 65 inches and standard deviation 2 inches.

(a) What is the probability that an 18 year-old man selected at random is between 64 and 66 inches tall? (Use 3 decimal places.)

(b) If a random sample of twelve 18-year-old men is selected, what is the probability that the mean height x is between 64 and 66 inches? (Use 3 decimal places.)

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