A certain company has two car assembly plants, A and B. Plant A produces twiceas many cars as plant B. Plant A uses engines and transmissions from a subsidiaryplant which produces 10% defective engines and 2% defectivetransmissions. Plant B uses engines and transmissions from another source where8% of the engines and 4% of the transmissions are defective. Car transmissionsand engines at each plant are installed independently. a) What is the probability that a car chosen at random will have a good engine?
b) What is the probability that a car from plant A has a defective engine, or adefective transmission, or both?
c) What is the probability that a car which has a good transmission and adefective engine was assembled at plant B?