In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of inches 68.9 and a standard deviation of 3.0 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 68 inches.

(b) Find the probability that a study participant has a height that is between 68 and 71 inches.

(c) Find the probability that a study participant has a height that is more than 71 inches.

(d) If there are 500 men, how many would you expect to be taller than 71 inches? Write a
complete sentence to explain your answer.