Quality control A consumer organization estimates that29% of new cars have a cosmetic defect, such as a scratchor a dent, when they are delivered to car dealers. Thissame organization believes that 7% have a functionaldefect—something that does not work properly—and that2% of new cars have both kinds of problems.a) If you buy a new car, what’s the probability that it hassome kind of defect?b) What’s the probability it has a cosmetic defect but nofunctional defect? c) If you notice a dent on a new car, what’s the probabil-ity 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 independ-ent events? Explain.

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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 probabil-
ity 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 independ-
ent events? Explain.
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