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Question 8 A factory uses a diagnosis test whether a part is defective or not. This...

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Question 8 A factory uses a diagnosis test whether a part isdefective or not. This test has a 0.90
probability of giving a correct result when applied to a defectivepart and a 0.05 probability
of giving an incorrect result when applied to a non-defective part.It is believed that one
out of every thousand parts will be defective.


(a) Calculate the posterior probability that a part is defective ifthe test says it is defec-
tive.
(b) Calculate the posterior probability that a part isnon-defective if the test says it is
non-defective.
(c) Calculate the posterior probability that a part ismisdiagnosed.

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