A company manufactures car batteries at three plants. Plant A produces 850 batteries a day, plant B produces 630 batteries a day, and plant C produces 520 batteries a day. Experience indicates that 4% of the batteries produced at plant A are defective, 5% of the batteries produced at plant B are defective, and 2% produced at plant C are defective. each day, all batteries produced produced are shipped to the company's warehouse. Suppose that a battery randomly selected in the warehouse is found to be defective, what is the probability that it was produced at a)Plant A? b) Plant B? c) Plant C?