You are the human resources director for a corporation and want to implement a health improvement program for employees to decrease employee medical absences. You perform a six-month study with a random sample of employees. Your goal is to decrease absences by 50%. (Assume all data are normally distributed.) EXERCISES 1. Preliminary Thoughts You got the idea for this health improvement program from a national survey in which 75% of people who responded said they would participate in such a program if offered by their employer. You randomly select 60 employees and ask them whether they would participate in such a program. (a) Find the probability that exactly 35 will say yes. (b) Find the probability that at least 40 will say yes. (c) Find the probability that fewer than 20 will say yes. (d) Based on the results in parts (a)-(c), explain why you chose to perform the study.