The survey has been undertaken to determine whether there is a relationship between the place of residence and ownership of an automobile. A random sample of car owners, 200200 from large cities, 150150 from suburbs and 150150 from rural areaswere selected and tabulated as followCar ownership/ Type of Area Large city Suburb RuralOwn a foreign car 909060602525Do not own a foreign car 1101109090125125If a car owner was selected at random, what is the probability that he/she owns a foreign carA720
Question
The survey has been undertaken to determine whether there is a relationship between the place of residence and ownership of an automobile. A random sample of car owners, 200200 from large cities, 150150 from suburbs and 150150 from rural areaswere selected and tabulated as followCar ownership/ Type of Area Large city Suburb RuralOwn a foreign car 909060602525Do not own a foreign car 1101109090125125If a car owner was selected at random, what is the probability that he/she owns a foreign carA720
Solution
To solve this problem, we first need to find the total number of car owners and the total number of foreign car owners.
The total number of car owners is the sum of car owners from large cities, suburbs, and rural areas. So, 200 (large city) + 150 (suburb) + 150 (rural) = 500 car owners.
The total number of foreign car owners is the sum of foreign car owners from large cities, suburbs, and rural areas. So, 90 (large city) + 60 (suburb) + 25 (rural) = 175 foreign car owners.
The probability that a randomly selected car owner owns a foreign car is the total number of foreign car owners divided by the total number of car owners. So, 175 (foreign car owners) / 500 (car owners) = 0.35 or 35%.
So, the probability that a randomly selected car owner owns a foreign car is 35%.
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