Opinion-polling organizations sometimes contact their respondents by sampling random telephone numbers.Assume that interviewers can now reach about 77% of Canadian households,while the percentage of those contacted who agree to cooperate with the survey is 39%.Each household,of course,is independent of the others.What is the probability of obtaining an interview with the next household on the sample list?
A)0.300
B)0.090
C)0.770
D)0.470
E)0.140

Question

Quizplus · Accepted Answer

The probability of obtaining an interview is the product of the probability of reaching a household (77% or 0.77) and the probability of the household agreeing to cooperate (39% or 0.39). Thus, 0.77 * 0.39 = 0.3003, which rounds to 0.300.

Opinion-Polling Organizations Sometimes Contact Their Respondents by Sampling Random Telephone