Use the following to answer the question(s) below.
An advocacy group is investigating whether gender has an effect on job category in large investment firms. They surveyed a sample of firms with the following results:

-Two events F = {a randomly selected employee is female} and S = {a randomly selected employee's job category is professional staff} are
A) independent.
B) not independent.
C) mutually exclusive.
D) independent and mutually exclusive.
E) disjoint.

Question

Use the following to answer the question(s) below.
An advocacy group is investigating whether gender has an effect on job category in large investment firms. They surveyed a sample of firms with the following results:
 
-Two events F = {a randomly selected employee is female} and S = {a randomly selected employee's job category is professional staff} are
A) independent. 
B) not independent. 
C) mutually exclusive. 
D) independent and mutually exclusive. 
E) disjoint.

Quizplus · Accepted Answer

The events F and S are not independent because the probability of S changes depending on whether or not F has occurred. Specifically, the probability of S given F is much lower than the probability of S given not F. Therefore, the occurrence of F affects the occurrence of S and they are not independent.

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