If fifteen percent of the employees in a company have managerial positions and 2

Question

If fifteen percent of the employees in a company have managerial positions and 25 percent of the employees in the company have MBA degreesand 60 percent of the managers have MBA degrees using the probability formulas.

a. Find the proportionsof employees who are managers and have MBA degrees.

b. find the proportion of MBAs who are also managers.

c. Are the events "being manager" and having an MBA independent? Justify your answer. I am totally lost I want to know how to work this problem please help me.

Explanation / Answer

begin by constructing a contigency table

                                         manager                  non-manager

having MBA                       15%*60%                   85%*25%               

not having MBA                 15%*40%                   85%*75%

totals                                  15%                         85%

a. proportions of employees who are managers and have MBA = 15%*60% = 9%

b. proportions of MBAs who are also managers = 15%*60%/ ( 15%*60% + 85%*25%) = 29.75%

c. yes. Because an non-manager can also have MBA.

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