Question

Each year, ratings concerning the performance of new cars during the first 90 days of use are compiled. Suppose that the cars have been categorized according to whether a car needs warrantyrelated repair (yes or no) and the country in which the company manufacturing a car is based (domestic or foreign). Based on the data collected, the probability that a new car needs a warranty repair is 0.08, the probability that a car was manufactured by a domestic company is 0.55, and the probability that a new car needs a warranty repair and was manufactured by a domestic company is 0.009.

Construct a contingency table to evaluate the probabilities of a warranty-related repair. What is the probability that a new car selected at random:

1) needs a warranty repair?

2) needs a warranty repair and was manufactured by a domestic company?

3) needs a warranty repair or was manufactured by a domestic company?

4) needs a warranty repair or was not manufactured by a domestic company?

Answer 1

Mantoctuud lo clemestic Need oady ,.e._r(denaskantany su) . P甸-p@목 tx ) p(๑) 는 1-o.og by daeutic Con^o

Put Volues n abore .441) ctuxed p (wfE DC*) よ(一 e@-P(pc) +p@gDc) ะ (1-0.08-o.oss + 0.0귀 31 +0.07

lence, coynTolal DC DC) 0 99 0,441 o,47 o,512 0,488 7otal