Question

In: Statistics and Probability

Each​ year, ratings are compiled concerning the performance of new cars during the first 30 days...

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

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