Quality control. 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 defect 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?

b) What's the probability it has a cosmetic defect but no functional defect?

c) If you notice a dent on a new car, what's the probability it has a functional defect?

d) Are the two kinds of defects disjoint events? Explain.

e) Do you think the two kinds of defects are independent events? Explain.