In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 67.2 inches and a standard deviation of 3.0 inches. A study participant is randomly selected. Comple parts (a) through (d) 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 0.3446 . (Round to four decimal places as needed.) (b) Find the probability that a study participant has a height that is between 66 and 71 inches. The probability that the study participant selected at random is between 66 and 71 inches tall is 0.3820 . (Round to four decimal places as needed.)The monthly utility bills in a city are normally distributed, with a mean of $100 and a standard deviation of $14. Find the probability that a randomly selected utility bill is (a) less than $67, (b) between $86 and $ and (c) more than $140. (a) The probability that a randomly selected utility bill is less than $67 is (Round to four decimal places as needed.)