A factory produces electronic components. It is known that 3% of components produced by machine A are defective and 4% of components produced by machine B are defective. Machine A produces 60% of the total components. A component is selected at random.

(a) Find the probability that the selected component is defective. [3]
(b) Given that the selected component is defective, find the probability that it was produced by machine B. [3]
(c) It is later found that 1% of defective components are incorrectly classified as non-defective by the quality control test, and 2% of non-defective components are incorrectly classified as defective. Find the probability that a component which is classified as defective is actually non-defective. [2]