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?