a survey found that probability A survey found that 62% of callers in the United
ID: 3174983 • Letter: A
Question
a survey found that probability A survey found that 62% of callers in the United States complain about the service they receive from a call center if they suspect that the agent who handled the call is foreign. Given this context, what is the probability that: a. The next three consecutive callers complain about the service provided by a foreign agent? b. The next two calls produce a complain, but not the third? c. Two out of the next three calls produces a complaint? d. None of the next 10 calls produces a complaint?Explanation / Answer
P(complaint) = 0.62 and P(No complaint) = 1 - 0.62 = 0.38
(a) Probability = 0.62 * 0.62 * 0.62 = 0.2383
(b) Probability = 0.62 * 0.62 * 0.38 = 0.1461
(c) Probability = 0.62 * 0.62 * 0.38 + 0.62 * 0.38 * 0.62 + 0.38 * 0.62 * 0.62 = 0.4382
(d) Probability = 0.38^10 = 0.000063
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