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.
(a) Suppose a component is selected at random, what is the
probability that...