A survey was conducted to measure the height of men. In the survey, respondents were grouped by age. In the 20-29 age group, the heights were normally distributed, with a mean of 67.8 inches and a standard deviation of 4.0 inches. A study participant is randomly selected.
(a) Find the probability that his height is less than 65 inches.
(b) The probability that the participant selected at random is between 65 and 71 inches.
(c) Find the probability that his height is greater than 71 inches.