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?
a. 53.5%
b. 0.1533
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