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Sixty seven percent of the employees in a company have managerial positions, and

ID: 3335096 • Letter: S

Question

Sixty seven percent of the employees in a company have managerial positions, and 39 percent of the employees in the company have MBA degrees. Also, 28 percent of the managers have MBA degrees. Using the probability formulas, find the proportion of employees who either have MBAs or are managers. (Round your answer to 2 decimal places.)

proprotion of employees?

Sixty seven percent of the employees in a company have managerial positions, and 39 percent of the employees in the company have MBA degrees. Also, 28 percent of the managers have MBA degrees. Using the probability formulas, find the proportion of employees who either have MBAs or are managers. (Round your answer to 2 decimal places.)

proprotion of employees?

Explanation / Answer

Percentage of Employees have managerial positions = 67%

P(A) = Proabability of an employee having managerial positions = 67/100 =0.67

Percentage of Employees have an MBA degree= 37%

P(B) = Probability of an employee having a MBA Degree = 0.37

Percent of employees of managers have MBA degrees = 28%

P(A and B) = Probability of an employee having mangerial position and a MBA Degree = 0.28

Proportion of employees who either have MBAs or are managers = Probability of an employee having mangerial position or a MBA Degree P(A OR B) = P(A) + P(B) - P(A and B) = 0.67+ 0.39 - 0.28= 0.78

Proportion of employees who either have MBAs or are managers = 0.78

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