Accidents on highways are one of the main causes of death or injury in developing countries and the weather conditions have an impact on the rates of death and injury. In foggy, rainy, and sunny conditions, 1/6, 1/9, and 1/27 of the accidents result in death, respectively. Sunny conditions occur 62% of the time, while rainy and foggy conditions each occur 19% of the time. Given that an accident without deaths occurred, what is the conditional probability that it was foggy at the time? Round your answer to three decimal places (e.g. 0.987). P = i

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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Accidents on highways are one of the main causes of death or injury in developing countries and the weather conditions have an
impact on the rates of death and injury. In foggy, rainy, and sunny conditions, 1/6, 1/9, and 1/27 of the accidents result in death,
respectively. Sunny conditions occur 62% of the time, while rainy and foggy conditions each occur 19% of the time.
Given that an accident without deaths occurred, what is the conditional probability that it was foggy at the time?
Round your answer to three decimal places (e.g. 0.987).
P = i
Transcribed Image Text:Accidents on highways are one of the main causes of death or injury in developing countries and the weather conditions have an impact on the rates of death and injury. In foggy, rainy, and sunny conditions, 1/6, 1/9, and 1/27 of the accidents result in death, respectively. Sunny conditions occur 62% of the time, while rainy and foggy conditions each occur 19% of the time. Given that an accident without deaths occurred, what is the conditional probability that it was foggy at the time? Round your answer to three decimal places (e.g. 0.987). P = i
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