Sixty seven percent of the employees in a company have manag

Sixty seven percent of the employees in a company have managerial positions, and 29 percent of the employees in the company have MBA degrees. Also, 27 percent of the managers have MBA degrees. Using the probability formulas, find the proportion of employees who either have MBAs or are managers.

Solution

Proportion rate of employees in a company have managerial positions = p(managerial positions) = 0.67

Percent of the employees in the company have MBA degrees = P(MBA degrees) = 0.58

Percent of Managers who are have MBA = 67*0.67/100 = 0.4489

Proportion of employees who either have MBAs or are managers = P(Mangers) + P( MBA Degress) - P( Mangers with MBA Degress) = 0.67+0.58 - 0.4489 = 0.8011