Each year, ratings are compiled concerning the performance of new cars during the first 3030

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 0.060.06,

the probability that the car is manufactured by a company based in country X is 0.600.60,

and the probability that the new car needs a warranty repair and was manufactured by a company based in country X is 0.0250.025.

Use this information to answer (a) through (d) below.

Suppose you know that a company based in country X manufactured a particular car. What is the probability that the car needs warranty repair?