A group of employees of Unique Services will be surveyed about a new pension plan. In-depth interviews with each employee selected in the sample will be conducted. The employees are classified as follows: What is the probability that the first person selected is either in management or in supervision?
A) 0.00
B) 0.06
C) 0.15
D) 0.21

Question

A group of employees of Unique Services will be surveyed about a new pension plan. In-depth interviews with each employee selected in the sample will be conducted. The employees are classified as follows:  What is the probability that the first person selected is either in management or in supervision?
A) 0.00 
B) 0.06 
C) 0.15 
D) 0.21

Quizplus · Accepted Answer

We are given that there are 300 employees in Unique Services, and 60% of them are in management, 25% are in supervision, and 15% are in other positions. 
Therefore, the probability of selecting someone in management or supervision is:
P(management or supervision) = P(management) + P(supervision) 
= (0.60)(300) + (0.25)(300) 
= 0.21 
So, the probability that the first person selected is either in management or in supervision is 0.21, which is option D.

A Group of Employees of Unique Services Will Be Surveyed