5.(6 points) There are customers who have decided to purchase a Toyota make of cars with 45% of smallest engine, 35% prefer medium size engine, and 20% want largest engine. From this 10% fail the emission test form the smallest engine customers. Similarly, 12% of medium engine and 15% with largest engine also fail.Find the probability that a randomly chosen car will fail the emission test within two years of the purchase. Draw a tree diagram and calculate the probability.

6. (4 points)Of the Statistics graduates of a University 35%, received a starting salary of $40,000.00.If 5 of them are randomly selected, find the probability that all the graduated had starting salary of $40,000.00.