Probability of First Person Selected in Management and Supervision | Exam Question Analysis

Probability of First Person Selected in Management and Supervision

Prev Question Next Question

Question

A selected group of employees of Unique Buying Services is to be surveyed with respect to a new pension plan. In depth interviews are to be conducted with each employee selected in the sample. The employees are classified as follows.

Classification Event Number of Employees

Supervisors A 120 -

Maintenance B 50 -

Production C 1,460 -

Management D 302 -

Secretarial E 68 -

What is the probability that the first person selected is in management AND in supervision?

Answers

Explanations

Click on the arrows to vote for the correct answer

A. B. C. D. E.

A

There are 2000 employees of which 302 are in management and 120 in supervision. However, there are no employees who are in both management and supervision. Therefore the probability is 0.

To determine the probability that the first person selected is in both management and supervision, we need to calculate the joint probability of these two events occurring.

Let's start by finding the probability of selecting a person from the management group. From the given information, there are 302 employees classified as management out of the total number of employees in the company. Therefore, the probability of selecting a person from the management group is:

P(Management) = Number of Management Employees / Total Number of Employees = 302 / (120 + 50 + 1,460 + 302 + 68) = 302 / 2,002 = 0.151

Next, we need to find the probability of selecting a person from the supervision group. However, from the information provided, the number of employees in the supervision group is not given. Therefore, we cannot directly calculate this probability.

Given that we don't have the required information, we cannot calculate the joint probability of selecting a person who is both in management and supervision. Thus, the correct answer is B. None of these answers.

It's important to note that for joint probabilities, we require the probabilities of both events occurring individually, as well as the information on whether the two events are dependent or independent. Without the number of employees in the supervision group, we cannot determine the probability of selecting a person who falls under both management and supervision.

Prev Question Next Question