A car company has three gear suppliers, A, B, and C. 35% of the company’s gears come from supplier A 45% of gears come from supplier B, and 20% of gears come from supplier C. From reliability testing, it is found that 1% of gears are defective if they are produced by supplier A, 2% of gears are defective if they are produced by supplier B, and 5% of gears are defective if they are produced by supplier C. (a) What is the probability that a gear used in this company is defective? (b) If this company finds a gear is defective, what is the probability that the gear comes from supplier B?