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Records of a Company Show That 20% of the Employees

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


Definitions:

Globin Portion

Part of the hemoglobin molecule consisting of globular proteins bound to heme, facilitating oxygen transport in the blood.

Hemoglobin Molecules

Hemoglobin molecules are iron-containing proteins in red blood cells that bind to oxygen in the lungs and carry it to tissues throughout the body, playing a crucial role in respiration.

Red Blood Cells

Biconcave, disc-shaped cells in the blood that transport oxygen from the lungs to body tissues and carbon dioxide from tissues back to the lungs.

Blood Plasma

The liquid component of blood in which the blood cells are suspended, comprising water and dissolved substances.

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