A company published the results of a study that found that arrogant workers are more likely to have poor performance ratings. Suppose that % of all full-time workers exhibit arrogant behaviors on the job and that % of all full-time workers will receive a poor performance rating. Also, assume that % 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 full-time worker will receive a poor performance rating. Complete parts a through c. Are the events A and B mutually exclusive? Explain.
A. No, because some full-time workers exhibit arrogant behaviors but do not receive a poor performance rating.
B. Yes, because some ful-time workers exhibit arrogant behaviors but do not receive a poor performance rating.
C. No, because some full-time workers exhibit arrogant behaviors and receive a poor performance rating.
D. Yes, because some full-time workers exhibit arrogant behaviors and receive a poor performance rating.