SOLUTION: 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 hig

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
RELATED QUESTIONS
In an electrical firm, 75% of the employees are Bumiputras. Of the... (answered by ewatrrr)

The personnel manager of a company feels that 60% of the employees will have enhanced... (answered by Boreal,ikleyn)

In an electrical firm, 75% of the employees are Bumiputras. Of the... (answered by Boreal)

1) 4(a-3)=3-(a+5) 2) 3z=2(z-3)+9 3) 8a-(a-7)=21 I am in an adult ed program... (answered by stanbon,halbren)

The table represent 2028 residents age 25 years or older in regard to educational... (answered by stanbon)

1. An employment information service claims that the mean annual salary for full-time... (answered by Boreal)

The ratio of men to women at a certain company is 3 to 5 . How many employees does the... (answered by ankor@dixie-net.com)

An insurance office has 75 employees.If the 30 of the employees have cellular phones find (answered by addingup)

A company studied the number of lost-time accidents occurring at its Brownsville, Texas,... (answered by ikleyn)