A company makes light meters and the probability that a randomly chosen meter is faulty is 0.04. In a quality control process, each meter is checked and either accepted or rejected. For a faulty meter, the probability that it will be rejected is 0.84. For a meter with no faults, the probability that it will be rejected is 0.01. Find the probability that
(a) a randomly chosen meter will be faulty and will be accepted;
(b) a randomly chosen meter with no faults and will be rejected;
(c) a randomly chosen meter will be accepted;
(d) a randomly chosen meter will be faulty, given that the quality control
process rejects it.