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For a certain population of employees, the percentage passing or failing a job competency exam, listed according to sex, were as shown in the accompanying table. That is, of all the people taking the exam, 24% were in the male-pass category, 16% were in the male-fail category, and so forth. An employee is to be selected randomly from this population. Let A be the event that the employee scores a passing grade on the exam and let M be the event that a male is selected. Sex Outcome Male (M) Female (F) Total Pass (A) 24 36 60 Fail (Ā) 16 24 40 Total 40 60 100 (a) Are the events A and M independent? O Yes O No (b) Are the events A and F independent? O Yes O No

For a certain population of employees, the percentage passing or failing a job competency exam, listed according to sex, were as shown in the accompanying table. That is, of all the people taking the exam, 24% were in the male-pass category, 16% were in the male-fail category, and so forth. An employee is to be selected randomly from this population. Let A be the event that the employee scores a passing grade on the exam and let M be the event that a male is selected. Sex Outcome Male (M) Female (F) Total Pass (A) 24 36 60 Fail (Ā) 16 24 40 Total 40 60 100 (a) Are the events A and M independent? O Yes O No (b) Are the events A and F independent? O Yes O No

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.2: Probability
Problem 4E: Let E and F be events in a sample space S. aThe probability of E and F occurring is...
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For a certain population of employees, the percentage passing or failing a job competency exam, listed according to sex, were as shown in the accompanying table. That is, of all the people taking the exam, 24% were in the male-pass category, 16% were in the male-fail category, and so forth. An employee is to be selected randomly from this population. Let A be the event that the employee scores a passing grade on the exam and let M be the event that a male is selected. Sex Outcome Male (M) Female (F) Total Pass (A) 24 36 60 Fail (Ā) 16 24 40 Total 40 60 100 (a) Are the events A and M independent? O Yes O No (b) Are the events A and F independent? O Yes O No
Transcribed Image Text:For a certain population of employees, the percentage passing or failing a job competency exam, listed according to sex, were as shown in the accompanying table. That is, of all the people taking the exam, 24% were in the male-pass category, 16% were in the male-fail category, and so forth. An employee is to be selected randomly from this population. Let A be the event that the employee scores a passing grade on the exam and let M be the event that a male is selected. Sex Outcome Male (M) Female (F) Total Pass (A) 24 36 60 Fail (Ā) 16 24 40 Total 40 60 100 (a) Are the events A and M independent? O Yes O No (b) Are the events A and F independent? O Yes O No
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