In the evaluation of a sales trining program, a firm discovered that of 50 sales people receiving bonuses last year, 20 had attended a special training sales training program. The firm employees 200 people. Let B = the event that a salesperson makes a bonus and S = the event that a salesperson attends the sales training program.
a. Find P(B), P(S/B), and P(S upside down U)
b. Assume that 40% of the sales people attended the training program. What is the probability that a salesperson makes a bonus given that given that the salespeople attend the sales training program? Comment on whether B and S are dependent or independent events.