Each? year, ratings are compiled concerning the performance ofnew cars during the first 60 days of use. Suppose that the carshave been categorized according to whether a car needs?warranty-related repair? (yes or? no) and the country in which thecompany manufacturing a car is based? (in some country X or not incountry? X). Based on the data? collected, the probability that thenew car needs a warranty repair is 0.07?, the probability that thecar is manufactured by a company based in country X is 0.50, andthe probability that the new car needs a warranty repair and wasmanufactured by a company based in country X is 0.025. Use thisinformation to answer? (a) through? (d) below.
a.Suppose you know that a company based in country Xmanufactured a particular car. What is the probability that the carneeds warranty? repair?
?(Round to three decimal places as? needed.)
b. Suppose you know that a company based in country X did notmanufacture a particular car. What is the probability that the carneeds warranty? repair?
?(Round to three decimal places as? needed.)
c. Are need for warranty repair and location of the companymanufacturing the car? independent?
A.
No
B.
Yes
C.
Not enough information
