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R4.1. uality 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?

R4.1. uality 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?

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 85E
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R4.1. 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.
Transcribed Image Text:R4.1. 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.
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