Records of a company show that 15% of the employees have only a high school diploma; 75% have bachelor degrees; and 10% have graduate degrees. Of those with only a high school diploma, 12% hold management positions; whereas, of those having bachelor degrees, 58% hold management positions. Finally, 82% of the employees who have graduate degrees hold management positions.
a.What percentage of employees hold management positions?b.Given that a person holds a management position, what is the probability that she/he has a graduate degree?
What will be an ideal response?
| a. | 53.5% |
| b. | 0.1533 |
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