Chevrolet has compiled the following data concerning the cars they sold in 1975: 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 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?