Answer:
9% is the proportion of employees who are managers and have MBA degrees.
Step-by-step explanation:
We are given the following in the question:
Percentage of employees in a company have managerial positions = 15%
[tex]P(MP) = 0.15[/tex]
Percentage of employees in the company have MBA degrees = 25%
[tex]P(MBA) = 0.25[/tex]
Percent of the managers have MBA degrees = 60%
[tex]P(MBA|MP) = 0.6[/tex]
We have to find the proportion of employees who are managers and have MBA degrees.
[tex]P(MBA \cap MP)[/tex]
The conditional probability is give by:
[tex]P(MBA|MP) = \displaystyle\frac{P(MBA \cap MP)}{P(MP)}\\\\P(MBA \cap MP) = P(MBA|MP)\times P(MP)\\P(MBA \cap MP) = 0.6\times 0.15 = 0.09[/tex]
9% is the proportion of employees who are managers and have MBA degrees.
