In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 68.2 inches and a standard deviation of 4.0 inches. A study participant is randomly...

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

68.2

inches and a standard deviation of

4.0

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

inches.

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

inches tall is

0.29120.2912.

(Round to four decimal places as needed.)

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

and

inches.

The probability that the study participant selected at random is between

and

inches tall is

0.38250.3825.

(Round to four decimal places as needed.)

inches.

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

inches tall is

0.32640.3264.

(Round to four decimal places as needed.)

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

There are no unusual events because all the probabilities are greater

than 0.05.

The events in parts (a), (b), and (c) are unusual because all of their probabilities are

less

than 0.05.

The event in part

(a)

is unusual because its probability is less than 0.05.

The events in parts

(a) and (c)

are unusual because its probabilities are less than 0.05.

Jun 11, 2022

Get Answer To This Question