STAT 351 QUIZ 2 TOTAL POINTS 25 EXTRA CREDIT 10 POINTS Records of a company show

Question

STAT 351 QUIZ 2 TOTAL POINTS 25 EXTRA CREDIT 10 POINTS Records of a company show that 20% of the employees have only a high school diploma,70% have bachelor degrees, and 10% have graduate degrees. Of those with only a high school diploma, 10% hold management positions, whereas, of those having bachelor degrees, 40% hold management positions. Finally, 80% of the employees who have graduate degrees hold management positions a. What percentage of employees holds management positions? (4 points) Given that a person holds a management position, what is the probability that she/he has a graduate degree? (4 points) b.

Explanation / Answer

Percentage of employees holding management positions = (20 * 10 + 70* 40 + 10 * 80 )/10000 = 3800/10000=38%

P( Graduate/Managment = 10*80 / 3800 = 4/19 = 0.2105

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