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Records of a Company Show That 15% of the Employees

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Records of a company show that 15% of the employees have only a high school diploma; 75% have bachelor degrees; and 10% have graduate degrees. 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?


Definitions:

Undervalued

An economic condition where the market price of an asset falls short of its intrinsic or real value as evaluated by investors.

Overvalued

A descriptor for an asset or stock whose price is believed to be higher than its intrinsic value.

Trademark

A distinguishable symbol, pattern, or phrase that serves to differentiate the goods or services of one origin from those of another.

Par Value

The face value of a bond or stock as stated on the certificate or instrument.

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