The customer service department of H&R Block received a total of 235 telephone requests for a tip-sheet on personal tax or corporate tax. The following table summarizes callers' primary area of interest, and how they first heard about the tip-sheet. Suppose that a caller is selected at random. Are they more likely to be interested in personal tax and first heard about the report from the radio, or more likely to be interested in corporate tax and first heard about the report from the radio?
A) P(personal and radio) = 34/100, P(corporate and radio) = 36/100, therefore they are more likely to be interested in corporate tax and first heard about the report from the radio.
B) P(personal and radio) = 34/235, P(corporate and radio) = 36/235, therefore they are more likely to be interested in corporate tax and first heard about the report from the radio.
C) P(personal and radio) = 34/135, P(corporate and radio) = 36/135, therefore they are more likely to be interested in corporate tax and first heard about the report from the radio.
D) Insufficient information to determine the answer.

Question

The customer service department of H&R Block received a total of 235 telephone requests for a tip-sheet on personal tax or corporate tax. The following table summarizes callers' primary area of interest, and how they first heard about the tip-sheet.  Suppose that a caller is selected at random. Are they more likely to be interested in personal tax and first heard about the report from the radio, or more likely to be interested in corporate tax and first heard about the report from the radio?
A) P(personal and radio) = 34/100, P(corporate and radio) = 36/100, therefore they are more likely to be interested in corporate tax and first heard about the report from the radio. 
B) P(personal and radio) = 34/235, P(corporate and radio) = 36/235, therefore they are more likely to be interested in corporate tax and first heard about the report from the radio. 
C) P(personal and radio) = 34/135, P(corporate and radio) = 36/135, therefore they are more likely to be interested in corporate tax and first heard about the report from the radio. 
D) Insufficient information to determine the answer.

Quizplus · Accepted Answer

The probability of a caller being interested in personal tax and first hearing about the report from the radio is P(personal and radio) = 34/235, and the probability of a caller being interested in corporate tax and first hearing about the report from the radio is P(corporate and radio) = 36/235. Because the sum of probabilities for all events must equal 1, the probabilities given in choice B are the correct probabilities for these events. Therefore, a caller selected at random is more likely to be interested in corporate tax and first hear about the report from the radio.

The Customer Service Department of H&R Block Received a Total