Question

A country conducts a study on new cars within the first 90 days of use. The cars have been categorized according to whether the car needs a​ warranty-based repair​ (yes or​ no) and the​ car's origin​ (domestic or​ foreign). Based on the data​ collected, the probability that the new car needs warranty repair is 0.06 comma 0.06, the probability that the car was manufactured by a domestic company is 0.75 comma 0.75, and the probability that the new car needs a warranty repair and was manufactured by a domestic company is 0.012 . 0.012. Construct a contingency table to evaluate the probabilities of a​ warranty-related repair. Complete parts​ (a) through​ (d). a. What is the probability that a new car selected at random needs a warranty​ repair? nothing ​(Do not​ round.) b. What is the probability that a new car selected at random needs a warranty repair and was manufactured by a domestic​ company? nothing ​(Do not​ round.) c. What is the probability that a new car selected at random needs a warranty repair or was manufactured by a domestic​ company? nothing ​(Do not​ round.) d. What is the probability that a new car selected at random needs a warranty repair or was made by a foreign​ company? nothing ​(Do not​ round.)

Answer 1

		domestic	Foreign	total
warranty	Yes	0.012	0.048	0.06
	No	0.738	0.202	0.94
	total	0.75	0.25	1

a)

probability that a new car selected at random needs a warranty​ repair =0.06

b) probability that a new car selected at random needs a warranty repair and was manufactured by a domestic​ company

=0.012

c)

probability that a new car selected at random needs a warranty repair or was manufactured by a domestic​ company

=0.012+0.738+0.048 =0.798

d)

probability that a new car selected at random needs a warranty repair or was made by a foreign​ company

=0.012+0.048+0.202 =0.262