Opinion-polling organizations sometimes contact their respondents by sampling random telephone numbers.Assume that interviewers can now reach about 74% of Canadian households,while the percentage of those contacted who agree to cooperate with the survey is 32%.Each household,of course,is independent of the others.What is the probability of failing to contact a household or of contacting the household but not getting them to agree to the interview?

A) 0.177
B) 0.823
C) 0.497
D) 0.763
E) 0.452

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Joshua Plyer · Accepted Answer

Final Answer : D, Explanation :  The probability of failing to contact a household is 1 - 0.74 = 0.26.The probability of contacting a household but not getting them to agree to the interview is (0.74)(1 - 0.32) = 0.5024.The total probability of failing to get a response is the sum of these two probabilities:0.26 + 0.5024 = 0.7624, which is closest to 0.763 (answer D).

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