Records of a Company Show That 15% of the Employees

question 81

Short Answer

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 percentage of employees holds management positions?
b.Given that a person holds a management position, what is the probability that she/he has a graduate degree?

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Definitions:

Eukaryotes

Organisms whose cells contain a nucleus and other organelles enclosed within membranes, distinguishing them from prokaryotes.

Chromosomes

Structures composed of DNA and proteins found in the nucleus of most living cells, carrying genetic information in the form of genes.

Horizontal Gene Transfer

The transfer of genetic elements across unicellular or multicellular organisms through means other than the direct inheritance of DNA from one generation to the next.

Plasmids

Small, circular, double-stranded DNA molecules found in bacterial cells and some eukaryotes, independent of chromosomes, often carrying genes that benefit their host organisms.