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In a survey of a group of? men, the heights in the? 20-29 age group were normally? distributed, with a mean of 68.3 inches and

In a survey of a group of? men, the heights in the? 20-29 age group were normally? distributed, with a mean of 68.3 inches and a standard deviation of 2.0 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 66 inches.

The probability that the study participant selected at random is less than 66 inches tall is _______. ?(Round to four decimal places as? needed.) ?

(b) Find the probability that a study participant has a height that is between 66 and 71 inches.

The probability that the study participant selected at random is between 66 and 71 inches tall ______. ?(Round to four decimal places as? needed.)

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

The probability that the study participant selected at random is more than 71 inches tall is ________. ?(Round to four decimal places as? needed.)

?(d) Identify any unusual events. Explain your reasoning. Choose the correct answer below.

A. The events in parts a , b , c are unusual because all of their probabilities are??less than 0.05.

B. There are no unusual events because all the probabilities are greater than 0.05.

C. The event in part a is unusual because its probability is less than 0.05.

D. The events in parts a and care unusual because its probabilities are less than 0.05.

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