Statistics/Probability Help!

[jocelynpearl09]

This problem is for my Statistics for Business course. I'm not sure which formulas to use and which numbers to plug in, any help would be much appreciated! Thank you!!!

15% of the employees in a company have managerial positions, and 25% of the employees in the company have MBA degrees. Also 60% 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.

 

[royhaas]

Start with the basics. You have 15% managers and 60% of managers who have MBAs. That answers (a). Use that to answer (b), since you know what proportion of the total have MBAs. Then use the definition of independence for (c).