Some employers are offering their employees a Consumer Directed Health Plan (CDHP) where the employer provides employees with a sum of money from which employees can purchase their health plan from an online marketplace. The concept is based on the belief that employees will behave more efficiently as consumers spending their own money. According to Aon Hewitt, 39% of employees who had the option chose a CDHP as their insurance plan. Boscov’s is a retail store that employs 286 people and offered a CDHP as a health insurance option. A random sample of 42 employees was selected.

a. What is the probability that 15 or fewer employees from this sample chose the CDHP?

b. What is the probability that 18 or more employees from this sample chose the CDHP?

c. What is the probability that between 17 and 22 employees from this sample chose the CDHP?