Question

Problem #8

Among 300 employees in a company 100 had Engineering degree, 110 had MBA degree, and 70 had both Engineering and MBA degrees. If an employee from this company is selected at random, find the probability that the employee

a. Has Engineering degree but not MBA..

b. Engineering or MBA degree.

Answer 1

Solution:

Given:

N = Total employees = 300

Let A = An employee had Engineering degree and B= An employee had MBA degree

Thus we have:

n(A) = Number of employees had Engineering degree = 100

n(B) = Number of employees had MBA degree = 110

n( A and B) =Number of employees had both Engineering and MBA degree = 70

An employee from this company is selected at random.

We have to find:

Part a)

P( An amployee has Engineering degree but not MBA) =.............?

that is:

P( A but not B) =.............?

where

thus

That is:

P( An amployee has Engineering degree but not MBA) = 0.10

Part b)
P(Engineering or MBA degree) =...........?

That is find:
P( A U B) =..........?

where

thus

That is:

P(Engineering or MBA degree) = 0.4667