In the evaluation of a sales training program, a firm discovered that of 50 salespeople receiving a bonus last year, 20 had attended a special sales training program. The firm employs 200 salespeople. 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 ( B).
b. Assume that 40% of the salespeople attended the training program. What is the probability that a salesperson makes a bonus given that the salesperson attended the sales training program, P(B | S)?
c. If the firm evaluates the training program in terms of its effect on the probability of a salesperson?s receiving a bonus, what is your evaluation of the training program? Comment on whether B and S are dependent or independent events.
This question was answered on: Jul 11, 2017
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