Using the given information answer the following questions. Show work where appropriate. 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 may would you expect to be taller than 71 inches? Write a complete sentence to explain your answer. Rubric: 3 points: Student must correctly answers all numerical parts and have a correct explanation. 2 points: Student must have 3 to 4 correct answers. 1 point: Student must have 1 to 2 correct answers. 0 points: Student does not correctly answer any part