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. Using the probability formulas,
a. Find the proportion of employees who are managers and have MBA degrees.
b. Find the proportion of MBAs who are managers.
c. Are the events being a manager and having an MBA independent? Justify your answer.