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a) Based on the information given above, write down what P(D), P(T|D) and P(T|D) are. Calculate P(D) and P(T|D). What is the probability that the test results in a random unit, P(T)? What is the probability that a device put into service will have a fault?

a) Based on the information given above, write down what P(D), P(T|D) and P(T|D) are. Calculate P(D) and P(T|D). What is the probability that the test results in a random unit, P(T)? What is the probability that a device put into service will have a fault?

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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Question 3 A factory makes electronic control units. The probability that a control unit has a fault is 8%. All devices are tested before they are put into use, but the test does not always give the correct answer. We say that the test fails if the test indicates that the device has a fault. If a device really has a fault, the probability is 88% that the test will fail. If a device is error-free, there is a 95% probability that the test will fail. Only units that the test does not work on are used. Let D be the event that a device has an error, and let T be the event that the test fails. a) Based on the information given above, write down what P(D), P(T|D) and P(T|D) are. Calculate P(D) and P(T|D). What is the probability that the test results in a random unit, P(T)? What is the probability that a device put into service will have a fault?
Transcribed Image Text:Question 3 A factory makes electronic control units. The probability that a control unit has a fault is 8%. All devices are tested before they are put into use, but the test does not always give the correct answer. We say that the test fails if the test indicates that the device has a fault. If a device really has a fault, the probability is 88% that the test will fail. If a device is error-free, there is a 95% probability that the test will fail. Only units that the test does not work on are used. Let D be the event that a device has an error, and let T be the event that the test fails. a) Based on the information given above, write down what P(D), P(T|D) and P(T|D) are. Calculate P(D) and P(T|D). What is the probability that the test results in a random unit, P(T)? What is the probability that a device put into service will have a fault?
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