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Each year, ratings are compiled concerning the performance of new cars during th

ID: 3317344 • Letter: E

Question

Each year, ratings are compiled concerning the performance of new cars during the first 90 days of use. Suppose that the cars have been categorised according to whether a car needs warrantyrelated 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 was 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. Construct a contingency table to evaluate the probabilities of a warranty-related repair. What is the probability that a new car selected at random

Explanation / Answer

P(Warranty and US based) =0.025

P(Warranty and non US based) =0.04-0.025=0.015

P(not warranty related and US based) =0.6-0.025=0.575

hence below is contingency table:

please reply for any subparts

US based not US based total not warranty related 0.575 0.385 0.96 waranty related 0.025 0.015 0.04 total 0.6 0.4 1
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