• A company uses three different assembly lines-A1, A2 and A3 –to manufacture a particular component. Of those manufactured by line A1, 5% need rework to remedy a defect, whereas 8% of A2’s components need rework and 10% of A3’s need rework. Suppose that 50% of all components are produced by line A1, 30% are produced by line A2, and 20% come from line A3. If a randomly selected component needs rework, Compute the probability that it came from line A1? From line A2? and From line A3? Apply Bayes theorem