A company located in the southern part of the United States has slightly more than 2,200 employees. Of these, 35% have a college degree. Twenty employees were selected at random to potentially receive special training in quality-improvement techniques. Half of these 20 have college degrees. Four of these 20 were then randomly selected to actually attend the training program.

a. What is the probability that all four of those selected have a college degree?
b. Assuming that the four are selected at random, what is the expected number among those four who have college degrees?
c. What is the probability that fewer than 2 of those in the final group have a college degree?