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Statement of a problem № m1425

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During a recent year, speeding was reported in 12.9% of all automobile accidents in the United States (The World Almanac 2010). Assume the probability that speeding is reported in an accident is 0.129, the probability of an accident in which speeding is reported leading to a fatality is 0.196, and the probability of an accident in which speeding is reported that does not lead to a fatality is 0.05. Suppose you learn of an accident involving a fatality. What is the probability that speeding was reported?

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