Question

Fifty six percent of the employees in a company have managerial positions, and 59 percent of the employees in the company have MBA degrees. Also, 37 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.)

	Proportion of employees

Answer 1

Given proportion of employees in a company have managerial position = P ( M ) = 0.56

Proportion of employees in a company have MBA degree

P( MBA) = 0.59

Proportion of managers have MBA degree = P( Manager and MBA) = 0.37

We asked Proportion of employees who either MBA or manager  

Using total probability rule.

P( Managers or MBA ) = P(manager)+P(MBA)- P(Manager and MBA)

P(managers or MBA) = 0.56 + 0.59 - 0.37 = 0.78

So proportion of employees who either manager or MBA = 0.78