The conformity of serial production parts is verified using a non-destructive test. However, the test is...

The conformity of serial production parts is verified using a non-destructive test.
However, the test is not 100% reliable. Indeed, previous statistics show that 12% of compliant parts are classified as non-compliant, and 10% of non-compliant parts are classified as compliant.
We also know that 20% of the production parts are really non-compliant.
This test is used to verify the compliance of a sample of 41 randomly selected parts in this production
a) Calculate the probability that 7 pieces of the sample are classified as non-compliant by the test.
b) Given that 7 parts in the sample are classified as nonconforming by the test, what is the probability that in fact there are exactly 11 nonconforming parts?

Expert Solution

orchestra answered 1 year ago

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