In: Statistics and Probability
A pipe is manufactured according to a process that produces 1 defective pipe per 5000 pipes produced. All pipes produced are subject to an x-ray inspection. 99.9% of all defective pipes fail the inspection (are correctly identified as defective). 0.2% of good pipes fail the inspection (are incorrectly identified as defective).
1)What is the probability that a randomly-selected pipe will fail the inspection? (E.g. enter 50% as 0.50.)
2) What is the probability that a pipe that passes the inspection is defective? (E.g. enter 50% as 0.50.)
3) What is the probability that a pipe that fails the inspection is good? (E.g. enter 50% as 0.50.)