Two people have tried robbing in a government office in Bangladesh. They were about to be trapped but escaped successfully. To find the real robber, the RAB arranged a lie detector test for 50 people who were claiming that they are guiltless. Suppose that the probability of detection of not innocent people is 0.90 and guiltless people seem to be guilty with the probability 0.01. What is the probability Mr. X is guilty given that the test says he is not?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Two people have tried robbing in a government office in Bangladesh. They were about to be trapped but escaped successfully. To find the real robber, the RAB arranged a lie detector test for 50 people who were claiming that they are guiltless. Suppose that the probability of detection of not innocent people is 0.90 and guiltless people seem to be guilty with the probability 0.01. What is the probability Mr. X is guilty given that the test says he is not?

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