Fifteen percent of the employees in a company have managerial positions, and 25 percent of the employees in the company have MBA degrees. Also, 60 percent of the managers have MBA degrees.
(a) If you randomly meet an employee from this company, what is the probability that this person is a manager and has an MBA degree?
(b) If you randomly meet an MBA from this company, what is the probability that this person is a manager?
(c) Are the events being a manager and having an MBA independent? Justify your answer.