Consider the following to answer the question(s) below:
SamaraCom is a communications and media company. It operates in the field of wireless communications, cable TV, telephone, and Internet connectivity. A recent survey showed that 64% of the SamaraCom clients are subscribed to Internet service, 28% are TV customers, and 22% are subscribed to a bundle (both, Internet and TV services).
-Which of the following statements about TV service subscription is true?
A) TV service subscription and having Internet from SamaraCom are disjoint events.
B) The probability of intersection of two events T = {TV service subscription} and I = {Internet service subscription} is equal to zero.
C) T = {TV service subscription} and I = {Internet service subscription} are independent events.
D) TV service subscription and having Internet from SamaraCom are mutually exclusive events.
E) TV service subscription and having Internet from SamaraCom are not mutually exclusive events.

Question

Quizplus · Accepted Answer

TV service subscription and having Internet from SamaraCom are not mutually exclusive events because there is a 22% subscription to a bundle of both Internet and TV services. Therefore, there is an overlap between the two events. Disjoint events have no overlap, mutually exclusive events have overlap but cannot happen together, and independent events have overlap and can happen together or separately. Since TV service and Internet service have some overlap, they are not mutually exclusive but are not necessarily independent either. Option B, which states that the probability of intersection is zero, is incorrect because the survey shows that there is some intersection between the events.

Consider the Following to Answer the Question(s) Below