Question

Fifteen percent of the employees in a company have managerial positions, and 25 percent of the employees in the company have MBA degrees. Also, 60 percent of the managers have MBA degrees. Using the probability formulas.Find the proportion of employees who are managers and have MBA degrees.

Answer 1

9% is the proportion of employees who are managers and have MBA degrees.

Explanation:

We are given the following in the question:

Percentage of employees in a company have managerial positions = 15%

`P(MP) = 0.15`

Percentage of employees in the company have MBA degrees = 25%

`P(MBA) = 0.25`

Percent of the managers have MBA degrees = 60%

`P(MBA|MP) = 0.6`

We have to find the proportion of employees who are managers and have MBA degrees.

`P(MBA \cap MP)`

The conditional probability is give by:

`P(MBA|MP) = \displaystyle(P(MBA \cap MP))/(P(MP))\\\\P(MBA \cap MP) = P(MBA|MP)* P(MP)\\P(MBA \cap MP) = 0.6* 0.15 = 0.09`

9% is the proportion of employees who are managers and have MBA degrees.