In a survey of a group ofmen, the heights in the20-29 age group were normallydistributed, with a mean of 67.1

67.1 inches and a standard deviation of 3.0

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

68 inches.

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

68 inches tall is

nothing

. (Round to four decimal places asneeded.)

(b) Find the probability that a study participant has a height that is between 68

68 and 71

71 inches.

The probability that the study participant selected at random is between 68

68 and 71

71 inches tall is

nothing

. (Round to four decimal places asneeded.)

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

71 inches.

The probability that the study participant selected at random is more than 71

71 inches tall is

nothing

. (Round to four decimal places asneeded.)

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

A.

There are no unusual events because all the probabilities are greater

Therearenounusualeventsbecausealltheprobabilitiesaregreater than 0.05.

B.

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 are

Theeventsinparts(a),(b),and(c)areunusualbecausealloftheirprobabilitiesareless

less than 0.05.

C.

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.

D.

The event in part left parenthesis a right parenthesis

(a) is unusual because its probability is less than 0.05.