A factory sources microchips from three suppliers: A, B, and C. Supplier A provides \( 50 \% \) of the chips, Supplier B provides \( 30 \% \), and the rest from Supplier C. The probability a chip from supplier A is defective is 0.02 and from supplier B is 0.05 . If the probability that a defective chip is from supplier A is 0.20 , (a) What is the probability that a random chip is defective? (b) Find the probability that a random chip from supplier C is defective?
