Suppose the heights of 18-year-old men are approximately normally distributed, with mean 69 inches and standard deviation 6 inches.   (a) What is the probability that an 18-year-old man selected at random is between 68 and 70 inches tall? (Round your answer to four decimal places.   (b)If a random sample of thirty 18-year-old men is selected, what is the probability that the mean height x is between 68 and 70 inches? (Round your answer to four decimal places.)

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Suppose the heights of 18-year-old men are approximately normally distributed, with mean 69 inches and standard deviation 6 inches.

 
(a) What is the probability that an 18-year-old man selected at random is between 68 and 70 inches tall? (Round your answer to four decimal places.
 
(b)If a random sample of thirty 18-year-old men is selected, what is the probability that the mean height x is between 68 and 70 inches? (Round your answer to four decimal places.)
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