Question: USA Today recently reported that about one-third of eligible workers haven't enrolled in their employers' 401(k) plans. Costco has been contemplating new incentives to encourage more participation from its employees. Of the 12 employees in one of Costco's automotive departments, 5 have enrolled in Costco's 401(k) plan. The store manager has randomly selected 7 of the automotive department employees to receive investment training.
a. Calculate the probability that all of the employees currently enrolled in the 401(k) program are selected for the investment training.
b. Calculate the probability that none of the employees currently enrolled in the 401(k) program is selected for the investment training.
c. Compute the probability that more than half of the employees currently enrolled in the 401(k) program are selected for the investment training.