1. A consumer organization estimates that 29% of new cars have a cosmetic defect such as a scratch or a dent when they are delivered to car dealers. This same organization believes that 7% have a functional defects---something that does not work properly---and that 2% of new cars have both kinds of problems.
a) If you buy a new car, what's the probability that it has some kind of defect? 34%
b) What's the probability it has a cosmetic defect but no functional defect? 27%
c) If you notice a dent on a new car, what's the probability it has a functional defect? 68.97%
d) Are the two kinds of defects disjoint events? Explain. No. You can have both kinds of defects on one car.
e) Do you think the two kinds of defects are independent events? Explain. Yes. Having one type of defect does not mean you will have the other type.