Amanufacturing plant producing electric motors has two production lines. in a typical day, 85% of the motors are produced in lane i, 15% in lane ii. past quality control study shows the probability that a randomly selected motors be defective is 12% if produced by line i, and 4% if produced by line ii. a randomly selected motor from this manufacturing plant is tested for possible defect. find the probability that the selected motor is produced by line 1 if the test shows that the selected engine is defective.