Red cab operates 30% of the taxis in a certain city, and orange cab operates 70% of the taxis. After a nighttime hit- and-run accident involving a taxi, any eyewitness said the cab is orange. Suppose under the night condition, the probability that only 60% of individuals can correctly distinguish between a red and an orange car. What is the

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Red cab operates 30% of the taxis in a certain city, and orange cab operates 70% of the taxis. After a nighttime hit-
and-run accident involving a taxi, any eyewitness said the cab is orange. Suppose under the night condition, the
probability that only 60% of individuals can correctly distinguish between a red and an orange car. What is the
posterior probability that the vehicle at fault is red?
Transcribed Image Text:Red cab operates 30% of the taxis in a certain city, and orange cab operates 70% of the taxis. After a nighttime hit- and-run accident involving a taxi, any eyewitness said the cab is orange. Suppose under the night condition, the probability that only 60% of individuals can correctly distinguish between a red and an orange car. What is the posterior probability that the vehicle at fault is red?
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