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 maintenance or in secretarial?
A)0.200
B)0.015
C)0.059
D)0.001

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 maintenance or in secretarial?
A)0.200 
B)0.015 
C)0.059 
D)0.001

Quizplus · Accepted Answer

There are a total of 49 employees, and 23 of them are in maintenance or secretarial positions. Thus, the probability that the first person selected is in maintenance or secretarial is:
P(Maintenance or Secretarial) = 23/49 = 0.469
Therefore, the answer is C) 0.059 (which is the probability of the complementary event, which is the probability that the first person selected is neither in maintenance nor secretarial: P(Other) = 1 - P(Maintenance or Secretarial) = 1 - 0.469 = 0.531, and the probability of selecting a person in either maintenance or secretarial is 1-0.531 = 0.059)

A Group of Employees of Unique Services Will Be Surveyed