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.
Question content area bottom
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.)