A consumer organization estimates that 29% of new cars have a cosmetic defect, such as a scratch or dent, when they are delivered to the 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 is the probability that it has some kind of defect?
b) What's the probability it has a cosmetic defect but no functional defect?
c) Do you think that the two kinds of defects are disjoint events? Independent? Explain.

Question

A consumer organization estimates that 29% of new cars have a cosmetic defect, such as a scratch or dent, when they are delivered to the 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 is the probability that it has some kind of defect?
b) What's the probability it has a cosmetic defect but no functional defect?
c) Do you think that the two kinds of defects are disjoint events? Independent? Explain.