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Given below are the results of a survey of 100 cars:
Condition of brakes
Condition of tires
Faulty
Not faulty
Total
25
5
30
$15
$55
70
$40
$60
100
(a) Assuming that the survey is representative of all the cars on the road, what is the probability that a car selected at random will have:
(i) Faulty brakes;
(ii) Faulty tires;
(iii) Either faulty brakes or faulty tires;
(iv) Faulty brakes given that it has faulty tires;
(v) Faulty tires given that it has faulty brakes?
(b) What conclusion would you draw about the relationship between the events 'faulty tires" and 'faulty brakes"?
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