Question 1160225: Records of a company show that 15% of the employees have only a high school diploma (H), 75% have bachelor degrees (B), and 10% have graduate degrees (G). 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 is the probability that an employee holds a management position and has a graduate degree?
b. What is the probability that an employee holds a management position?
c. What is the probability that an employee holds a management position or has a graduate degree?
d. Given that a person holds a management position, what is the probability that she/he has a graduate degree?
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! =====MG+========MG- ==Total
H-------18-------------132-------150
B------435-------------315------ 750
G----- -82---------------18------100
Tot====535=========465====1000
a. 82/1000 or 0.082. Also 0.82*0.10
b. 0.535
c. MG is 535 GD is 100-both (double counted) 82= 553 or 0.553 probability.
d. this is 82/535=0.1533
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