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

69.5

inches and a standard deviation of

2.0

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

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Part 1

​(a) Find the probability that a study participant has a height that is less than

68

inches.

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

68

inches tall is

0.2266

.

​(Round to four decimal places as​ needed.)

Part 2

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

68

and

71

inches.

The probability that the study participant selected at random is between

68

and

71

inches tall is

0.5468

.

​(Round to four decimal places as​ needed.)

Part 3

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

71

inches.

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

71

inches tall is

enter your response here

.

​(Round to four decimal places as​ needed.)

Q&A Education