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?

18%/100%

ANSWER: ______.18______________________________

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? )