There are three major manufacturing companies that make a product: manufacturers a, b, and c. manufacture a has a 50% market share, and manufacture b has a 30% market share. 5% of a’s products are defective, 6% of b’s products are defective, and 8% of c’s products are defective. a) what is the probability that a randomly selected product is defective? p(defective)? b) what is the probability that a randomly selected product is defective and that it came from a? p(a and defective)? c) what is the probability that a defective product came from b? p(b/defective)? d) are these events (being defective and coming from b) independent? why?