5.64 In a survey conducted by the Council for Marketing and Opinion Research (CMOR), a national nonprofit research industry trade group based in Cincinnati, 1,628 of 3,700 adults contacted in the United States refuse to participate in phone surveys (S. Jarvis, CMOR Finds Survey Refusal Rate Still Rising, Marketing News, February 4, 2002, p. 4). Suppose that you are to randomly call 10 adults in the United States and ask them to participate in a phone survey. Using the results of the CMOR study, what is the probability that a. all 10 will refuse? b. exactly 5 will refuse? c. at least 5 will refuse? d. less than 5 will refuse? e. less than 5 will agree to be surveyed? f. What is the expected number of people who will refuse to participate? Explain the practical meaning of this number
p = 1628/3700 = 0.44
n = 10
(a) Probability =
(b) Probability =
(c) Probability =
(d) Probability =
(e) Probability =
(f) Expected number of people who will refuse to participate = 0.44*10 = 4.4 ~ 5
5 people will refuse to participate out of every 10 surveyed.
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