In a recent survey of local business owners, 40% of the respondents belong to the Rotary Club and 70% belong to the Chamber of Commerce.30% were members of both.Are the events "member of Chamber" and "member of Rotary" mutually exclusive?
A)Yes, since P(Chamber and Rotary) is equal to 0
B)No, since P(Chamber and Rotary) is not equal to P(Chamber)
C)No, since P(Chamber and Rotary) is not equal to 0
D)Yes, since P(Chamber and Rotary) is not equal to P(Chamber)
E)Yes, since P(Rotary and Chamber) is not equal to P(Chamber)

Question

Quizplus · Accepted Answer

Mutually exclusive events cannot occur at the same time. Since 30% of the respondents are members of both the Chamber of Commerce and the Rotary Club, the events are not mutually exclusive, indicating that P(Chamber and Rotary) is not equal to 0.

In a Recent Survey of Local Business Owners, 40% of the Respondents