Question

Twenty seven percent of the employees in a company have managerial positions, and 5 percent of the employees in the company have MBA degrees. Also, 59 percent of the managers have MBA degrees. Using the probability formulas, find the proportion of employees who either have MBAs or are managers.

Answer 1

Explanation:

Given that :

27% employees managerial position

5% Employee have MBA

59% of managers have MBA

Proportion of employees who either have MBA or are managers :

P(either manager or MBA) = P(Manager U MBA)

= P(manager) + P(MBA) - [P(manager n MBA) * P(Manger)]

P(manager ) = 0.27

P(MBA) = 0.05

P(manager n MBA) * P(Manger) = 0.59 * 0.27 = 0.1593

P(manager) + P(MBA) - [P(manager n MBA) * P(Manger)]

= 0.27 + 0.05 - 0.1593

= 0.1607