Question

Thirty five percent of the employees in a company have managerial positions, and 67 percent of the employees in the company have MBA degrees. Also, 53 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

49% of employees who either have MBA or are managers.

Explanation:

We are given the following information in the question:

P(Managerial) = 35% = 0.035

P(MBA) = 67% = 0.67

`P(\text{Managerial} \cap \text{MBA}) = 53\% = 0.53`

We have to find the probability of employees who either are have MBA or are managers.

According to De-Morgan's law:

`P(\text{Managerial} \cup \text{MBA}) = P(\text{Managerial}) + P(\text{MBA}) - P(\text{Managerial} \cap \text{MBA}) \\P(\text{Managerial} \cup \text{MBA}) = 0.35 + 0.67 - 0.53 = 0.49`

Thus, around 49% of employees who either have MBA or are managers.