Hi it's me the novice statitician. So...I want to know if I am on the right track or if I am making this too easy:
Machine A produces 3% defectives, machine B produces 5% defectives, and machine C produces 10% defectives. Of the total output from these machines, 60% of the items are from machine A, 30% from B, and 10% from C. One item is selected at random from a day’s production.
15. What is the prior probability that the item came from machine A? Machine B? Machine C?
ANSWER: Machine A =60% Machine B = 30% Machine C = 10%
16. What is the probability that the item is defective?
17. If inspection finds the item to be defective, what is the revised probability that the item came from machine C?
Machine C|Given Defective (I think this is what I would use as part of conditional probability? )