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Using the given information answer the following questions. Show work where appropriate. In a survey of...

Using the given information answer the following questions. Show work where appropriate.

In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of inches 68.9 and a standard deviation of 3.0 inches. A study participant is randomly selected. Complete parts (a) through (d) below.

(a) Find the probability that a study participant has a height that is less than 68 inches.

(b) Find the probability that a study participant has a height that is between 68 and 71 inches.

(c) Find the probability that a study participant has a height that is more than 71 inches.

(d) If there are 500 men, how may would you expect to be taller than 71 inches? Write a complete sentence to explain your answer.

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