Are the events a and m independent

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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(A-) 16 24 40
Total 40 60 100

a Are the events A and M independent?

b Are the events and F independent?

Reference no: EM131028179

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