In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 69.9 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 that a study participant has a height that is less than 67 inches.

The probability that the study participant selected at random is less than 67 inches tall is

nothing. (Round to four decimal places as needed.)

(b) Find the probability that a study participant has a height that is between 67 and 72 inches.

The probability that the study participant selected at random is between 67 and 72 inches tall is

nothing. (Round to four decimal places as needed.)

(c) Find the probability that a study participant has a height that is more than 72 inches.

The probability that the study participant selected at random is more than 72 inches tall is

nothing. (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 left parenthesis a right parenthesis comma left parenthesis b right parenthesis comma and left parenthesis c right parenthesis are unusual because all of their probabilities areThe events in parts (a), (b), and (c) are unusual because all of their probabilities are lessless than 0.05.

B.

The event in part left parenthesis a right parenthesis(a) is unusual because its probability is less than 0.05.

C.

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

D.

The events in parts left parenthesis a right parenthesis and left parenthesis c right parenthesis(a) and (c) are unusual because its probabilities are less than 0.05.

Click to select your answer(s).