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Records of a company show that 20% of the employees have only a high school diploma;...

Records of a company show that 20% of the employees have only a high school diploma; 70% have bachelor degrees; and 15% have graduate degrees. Of those with only a high school diploma, 10% hold management positions; whereas, of those having bachelor degrees, 60% hold management positions. Finally, 85% of the employees who have graduate degrees hold management positions.

a. Create a tree diagram representing the above situation.
b. What percentage of employees hold management positions?
c. Given that a person holds a management position, what is the probability that she/he has a graduate degree?
Math   Statistics-And-Probability   
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