Question

Sixty seven percent of the employees in a company have managerial positions, and 58 percent of the employees in the company have MBA degrees.
Also, 67 percent of the managers have MBA degrees.

Using the probability formulas, find the proportion of employees who either have MBAs or are managers. (Round your answer to 2 decimal places.)

Answer 1

Answer: The proportion of employees who either have MBAs or are managers are 0.58.

Step-by-step explanation:

Since we have given that

Probability of employees having managerial positions = 67%

Probability of employees having MBA degrees = 58%

Probability of managers having MBA degrees = 67%

So, using probability formulas, we get that

$P(A\cup B)=P(A)+P(B)-P(A\cap B)\\\\P(A\cup B)=0.67+0.58-0.67\\\\P(A\cup B)=0.58$

Hence, the proportion of employees who either have MBAs or are managers are 0.58.