5. Chevrolet has compiled the following data concerning the cars they sold: Among full size cars, 80% have large engines. 70% of mid-size cars sold have small engines. 95% of compacts sold have small engines. Of the cars sold, 20% are full size, 40% are midsize and 40% are compact. (Engines are classified as either large or small.) a) If one of the cars sold is chosen at random, what is the probability that it has a large engine? b) Are the events "a car chosen at random is midsize" and "a car chosen at random has a large engine" independent? c) If you are told that a car chosen at random has a small engine, what is the probability that it is a compact