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5. Your x-ray test indicates that a valve on the blow-out preventer is cracked for this new well. The test has a 99.0% probability of detecting a crack if present, but a 0.5% probability of detecting a crack if not present. There is a 0.2% probability of having a crack (before the test). a) What is the probability that the valve is cracked given the test says it is Recall Bayes' Theorem: P(BIA) = P(A/B) P(B) = P(A) P(A/B) P(B) P(A/B) P(B) + P(A/B) P(BC) b) What is the probability the valve is cracked given the test says it is not cracked

5. Your x-ray test indicates that a valve on the blow-out preventer is cracked for this new well. The test has a 99.0% probability of detecting a crack if present, but a 0.5% probability of detecting a crack if not present. There is a 0.2% probability of having a crack (before the test). a) What is the probability that the valve is cracked given the test says it is Recall Bayes' Theorem: P(BIA) = P(A/B) P(B) = P(A) P(A/B) P(B) P(A/B) P(B) + P(A/B) P(BC) b) What is the probability the valve is cracked given the test says it is not cracked

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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5. Your x-ray test indicates that a valve on the blow-out preventer is cracked for this new well. The test has a 99.0% probability of detecting a crack if present, but a 0.5% probability of detecting a crack if not present. There is a 0.2% probability of having a crack (before the test). a) What is the probability that the valve is cracked given the test says it is Recall Bayes' Theorem: P(BIA) = P(A/B) P(B) = P(A) P(A/B) P(B) P(A/B) P(B) + P(A/B) P(BC) b) What is the probability the valve is cracked given the test says it is not cracked
Transcribed Image Text:5. Your x-ray test indicates that a valve on the blow-out preventer is cracked for this new well. The test has a 99.0% probability of detecting a crack if present, but a 0.5% probability of detecting a crack if not present. There is a 0.2% probability of having a crack (before the test). a) What is the probability that the valve is cracked given the test says it is Recall Bayes' Theorem: P(BIA) = P(A/B) P(B) = P(A) P(A/B) P(B) P(A/B) P(B) + P(A/B) P(BC) b) What is the probability the valve is cracked given the test says it is not cracked
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