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 0.13, the probability that the car was manufactured by a domestic company is 0.66, and the probability that the new car needs a warranty repair and was manufactured by a domestic company is 0.047. 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? 0.13 (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? (do not round.)

Explanation:

Part a

Step1: Identify given probability

The problem states the probability that a new car needs a warranty repair is given as \( 0.13 \).

Step1: Identify the joint probability

We are given that the probability that a new car needs a warranty repair and was manufactured by a domestic company is \( 0.047 \).

Answer:

\( 0.13 \)

Part b