To see if event A and event B are independent of each other, test if P(A|B) = P(A) or if P(B|A) = P(B).If the two sides of the equation(s) are equal, then the two events are independent; if not equal, then not independent.
Suppose you want to determine if female instructors are being discriminated against at a large university.You have collected data on instructors’ gender and promotion status, and organized the data in the following probability table:
Promoted
Not Promoted
Female
0.03
0.12
Male
0.17
0.68
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