At a dealership, customers who buy a certain brand of car can control a motor in three sizes. On all cars sold, 45% have the smallest engine, 35% have the mid-size engine and 20% have the biggest. Of the cars with the smallest engine, 10 % fail an emissions test two years after purchase. As for those equipped respectively with the medium-sized and large-sized engines, 12 % and 15% fail an emissions test two years after purchase. 1. What is the probability that a randomly selected car will fail a emissions control two years after purchase? 2. A record of a failed emissions test is randomly selected. What is the probability that it is a car with an average engine?