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On-the-job arrogance and task performance. Human

Statistics for Business and Economics | 12th Edition | ISBN: 9780321826237 | Authors: James T. McClave, P. George Benson, Terry T Sincich

Problem 58E Chapter 3

Statistics for Business and Economics | 12th Edition

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Statistics for Business and Economics | 12th Edition | ISBN: 9780321826237 | Authors: James T. McClave, P. George Benson, Terry T Sincich

Statistics for Business and Economics | 12th Edition

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Problem 58E

On-the-job arrogance and task performance. Human Performance (Vol. 23, 2010) published the results of a study that found that arrogant workers are more likely to have poor performance ratings. Suppose that 15% of all full-time workers exhibit arrogant behaviors on the job and that 10% of all full-time workers will receive a poor performance rating. Also, assume that 5% of all full-time workers exhibit arrogant behaviors and receive a poor performance rating. Let A be the event that a full-time worker exhibits arrogant behavior on the job. Let B be the event that a fulltime worker will receive a poor performance rating.

a. Are the events A and B mutually exclusive? Explain.

b. Find P(B|A).

c. Are the events A and B independent? Explain.

Step-by-Step Solution:

Step 1 of 4:

We have the events A and B.

A = all full-time workers exhibit arrogant behaviors on the job.

B = all full-time workers will receive a poor performance rating.

AB = all full-time workers exhibit arrogant behavior and receive a poor performance rating.

P(A) = 0.15 (15%)

P(B) = 0.10 (10%)

P(AB) = 0.05 (5%)

Step 2 of 4:

the claim is to check the events A and B are mutually exclusive

If the events are mutually exclusive, then P(AB) = 0.

Here, P(AB) = 0.05.

Hence, the events are not mutually exclusive.

Step 3 of 4

Chapter 3, Problem 58E is Solved
Step 4 of 4

Textbook: Statistics for Business and Economics
Edition: 12
Author: James T. McClave, P. George Benson, Terry T Sincich
ISBN: 9780321826237

Statistics for Business and Economics was written by and is associated to the ISBN: 9780321826237. The answer to “On-the-job arrogance and task performance. Human Performance (Vol. 23, 2010) published the results of a study that found that arrogant workers are more likely to have poor performance ratings. Suppose that 15% of all full-time workers exhibit arrogant behaviors on the job and that 10% of all full-time workers will receive a poor performance rating. Also, assume that 5% of all full-time workers exhibit arrogant behaviors and receive a poor performance rating. Let A be the event that a full-time worker exhibits arrogant behavior on the job. Let B be the event that a fulltime worker will receive a poor performance rating.a. Are the events A and B mutually exclusive? Explain.b. Find P(B|A).c. Are the events A and B independent? Explain.” is broken down into a number of easy to follow steps, and 121 words. This textbook survival guide was created for the textbook: Statistics for Business and Economics , edition: 12. Since the solution to 58E from 3 chapter was answered, more than 866 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 58E from chapter: 3 was answered by , our top Business solution expert on 07/21/17, 05:42AM. This full solution covers the following key subjects: performance, arrogant, full, workers, poor. This expansive textbook survival guide covers 15 chapters, and 1630 solutions.

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