### Bayesian Inference ProblemA cab was involved at night in a hit-and-run accident. In this town, there are only two cab companies: the Blue company, which has 80% of the cabs, and the Green company, with the remaining 20%. A witness identified the hit-and-run cab as Blue. The case proceeded to trial.A crucial part of the testimony involved a test of the reliability of the eyewitness in identifying a cab as either Blue or Green under similar conditions to those of the accident night. The results of these tests showed that the witness correctly identified a Blue cab as Blue 70% of the time, and a Green cab as Green 80% of the time.Based on the witness's claim and the court's test, what is the probability that the cab involved in the accident was, in fact, Blue, as the witness claimed?

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Answered: ### Bayesian Inference Problem A cab…

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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