4. Related to a job competency exam taken by employees: Of the employees, 24% were males who passed the exam; 36% were females who passed the exam; 16% were males who failed the exam; and 24% were females who failed the exam. Con- sider choosing an employee at random. Let A denote the event that the selected employee passed the exam and M denote the event that the selected employee was male. Are the events A and M independent? (Justify your answer mathe- matically.) What is P(ĀM)?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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4. Related to a job competency exam taken by employees: Of the employees, 24%
were males who passed the exam; 36% were females who passed the exam; 16%
were males who failed the exam; and 24% were females who failed the exam. Con-
sider choosing an employee at random. Let A denote the event that the selected
employee passed the exam and M denote the event that the selected employee
was male. Are the events A and M independent? (Justify your answer mathe-
matically.) What is P(A|M)?
Transcribed Image Text:4. Related to a job competency exam taken by employees: Of the employees, 24% were males who passed the exam; 36% were females who passed the exam; 16% were males who failed the exam; and 24% were females who failed the exam. Con- sider choosing an employee at random. Let A denote the event that the selected employee passed the exam and M denote the event that the selected employee was male. Are the events A and M independent? (Justify your answer mathe- matically.) What is P(A|M)?
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