Your factory receives 3 lots of screws. There are 100 screws in Lot 1, 200 in Lot 2 and 300 in Lot 3. Lot 1 contains 1% defective screws. Lot 2 contains 2% defective screws and Lot 3 contains 3% defective screws. All the screws are dumped in one bin and then a screw is selected randomly
a) what is the Probability that the selected screw came from Lot 1?
b) what is the Probability that the selected screw was defective?
c) if the screw was defective what is the probability that it came from Lot 2?