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

inches and a standard deviation of

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

​(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

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

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

inches.

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

inches tall is

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