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In a survey of a group of men, the height in the 20-29 age group were normally distributed, with a mean of 68.7 inches and

In a survey of a group of men, the height in the 20-29 age group were normally distributed, with a mean of 68.7 inches and a standard deviation of 3.0 inches. A study participant is randomly selected. Complete parts (a) through (d) below.

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

The probability that the study participant selected at random is less than 68 inches tall is

(b) Find the probability that a study participant has a height that is between 68 and 70 inches.

The probability that the study participant selected at random is between 68 and 70 inches tall is

(c) Find the probability that a study participant has a height that is more than 70 inches tall is

The probability that the study participant selected at random is more than 70 inches tall is

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

A. The events is part (a) is unusual because its probability is less than 0.05.

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

C. The events in parts (a), (b), (c) are unusual because all of their probabilities are less than 0.05

D. The events in part (a) and (C) are unusual because it probabilities are less than 0.05.

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