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On-the-job arrogance and task performance. Human
Chapter 3, Problem 58E(choose chapter or problem)
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.
Questions & Answers
QUESTION:
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.
ANSWER:
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%)