In: Statistics and Probability
Each year, ratings are compiled concerning the performance of new cars during the first 30 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 (in some country X or not in country X). Based on the data collected, the probability that the new car needs a warranty repair is 0.08, the probability that the car is manufactured by a company based in country X is 0.50, and the probability that the new car needs a warranty repair and was manufactured by a company based in country X is 0.025. Use this information to answer (a) through (d) below.
a. Suppose you know that a company based in country X manufactured a particular car. What is the probability that the car needs warranty repair? (round to three decimal points)
b.Suppose you know that a company based in country X did not manufacture a particular car. What is the probability that the car needs warranty repair?
c.Are need for warranty repair and location of the company manufacturing the car independent?
a- no
b- yes
c- not enough info