Given below are the results of a survey of 100 cars:
|
|
Condition of brakes
|
|
Condition of tires
|
Faulty
|
Not faulty
|
Total
|
|
Faulty
|
25
|
5
|
30
|
|
Not faulty
|
$15
|
$55
|
70
|
|
Total
|
$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"?