In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 69.2 inches and a standard deviation of 4.0 inches. A study participant is randomly selected. Complete parts (a) through (c) below.
(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 ________?
(b) Find the probability that a study participant has a height that is between 66 and 70 inches. The probability that the study participant selected at random is between 66 and 70 inches tall is ________?
(c) Find the probability that a study participant has a height that is more than 70 inches.The probability that the study participant selected at random is more than 70 inches tall is ________?