In a major midwestern university,55 percent of all undergraduates are female,25 percent of all undergraduates belong to a Greek organization (fraternity or sorority),and 40 percent of all males belong to a Greek organization.Are the events "female/male" and "belongs to a Greek organization" independent?
A)Yes,independent
B)No,not independent

Question

Quizplus · Accepted Answer

Two events are independent if the occurrence of one event does not affect the probability of the other event. However, in this case, the occurrence of the event "belongs to a Greek organization" is not independent of the event "male/female". We know that 40 percent of all males belong to a Greek organization, but we do not know the percentage of females who belong to a Greek organization. Therefore, the events are not independent.

In a Major Midwestern University,55 Percent of All Undergraduates Are