Txt 6.

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

67.4

inches and a standard deviation of

2.0

inches. A study participant is randomly selected. Complete parts (a) through (d) below.

Question content area bottom

Part 1

(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

enter your response here.

(Round to four decimal places as needed.)

Part 2

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

66

and

72

inches.

The probability that the study participant selected at random is between

66

and

72

inches tall is

enter your response here.

(Round to four decimal places as needed.)

Part 3

(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

enter your response here.

(Round to four decimal places as needed.)

Part 4

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

A.

The event in part

(a)

is unusual because its probability is less than 0.05.

B.

Noneoftheeventsareunusualbecausealltheprobabilitiesare

greater

than 0.05.

C.

The events in parts

(a)and(b)

are unusual because its probabilities are less than 0.05.

D.

Theeventinpart(c)isunusualbecauseitsprobabilityisless

than 0.05