In: Statistics and Probability
Question 8 A factory uses a diagnosis test whether a part is
defective or not. This test has a 0.90
probability of giving a correct result when applied to a defective
part 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 if
the test says it is defec-
tive.
(b) Calculate the posterior probability that a part is
non-defective if the test says it is
non-defective.
(c) Calculate the posterior probability that a part is
misdiagnosed.