Warranty records show that the probability that a new car needs a warranty repair in the first 90 days is 0.05. If a sample of 3 new cars is selected: What is the probability that none needs a warranty repair? What is the probability that at least one needs a warranty repair? What is the probability that more than one needs a warranty repair? The key components of this problem are: Sample size (trials) = 3 new cars Probability of "success" = 5% Number of "successes": A: Exactly 0 B: 1 or more C: More than one Why is this information important for the car manufacturing company?
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We are given: - The probability of a car needing a warranty repair in the first 90 days is 0.05 (5%). - We are considering a sample of 3 new cars. We need to find: A) The probability that none of the cars need a warranty repair. B) The probability that at least Show more…
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Each year, ratings are compiled concerning the performance of new cars during the first 90 days of use. Suppose that the cars have been categorized according to whether a car needs warranty-related repair (yes or no) and the country in which the company manufacturing a car is based (United States or not United States). Based on the data collected, the probability that the new car needs a warranty repair is 0.04, the probability that the car is manufactured by a U.S.-based company is 0.60, and the probability that the new car needs a warranty repair and was manufactured by a U.S.-based company is 0.025. a. Suppose you know that a company based in the United States manufactured a particular car. What is the probability that the car needs a warranty repair? b. Suppose you know that a company based in the United States did not manufacture a particular car. What is the probability that the car needs a warranty repair? c. Are the need for a warranty repair and location of the company manufacturing the car independent?
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A country conducts a study on new cars within the first 90 days of use. The cars have been categorized according to whether the car needs a warranty-based repair (yes or no) and the car's origin (domestic or foreign). Based on the data collected, the probability that the new car needs a warranty repair is 0.08, the probability that the car was manufactured by a domestic company is 0.69, and the probability that the new car needs a warranty repair and was manufactured by a domestic company is 0.013. Construct a contingency table to evaluate the probabilities of a warranty-related repair. Complete parts (a) through (d). d. What is the probability that a new car selected at random needs a warranty repair or was made by a foreign company?
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