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

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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