3. The heights of 18-year old men are normally distributed with mean 68 inches and 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. If a random sample of nine 18-year old men is randomly selected, what is the probability that the mean height is between 67 and 69 inches tall? c. If a random sample of thirty 18-year old men is randomly selected, what is the probability that the mean height is between 67 and 69 inches tall? d. If a random sample of fifty 18-year old men is randomly selected, what is the probability that the mean height is between 67 and 69 inches tall?

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