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InterviewSolution
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An organization selected 2400 families at random and surveyed them to determine a relationship between income level and the number of vehicles in a family. The information gathered is listed in the table below:Monthly income (in Rs)Vehicles per family012Above 2Less than 7000101602507000 − 10000030527210000 − 13000153529113000 − 160002469592516000 or more15798288Suppose a family is chosen, find the probability that the family chosen is(i) earning Rs 10000 − 13000 per month and owning exactly 2 vehicles.(ii) earning Rs 16000 or more per month and owning exactly 1 vehicle.(iii) earning less than Rs 7000 per month and does not own any vehicle.(iv) earning Rs 13000 − 16000 per month and owning more than 2 vehicles.(v) owning not more than 1 vehicle. |
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Answer» Number of total families surveyed = 10 + 160 + 25 + 0 + 0 + 305 + 27 + 2 + 1 + 535 + 29 + 1 + 2 + 469 + 59 + 25 + 1 + 579 + 82 + 88 = 2400 (i) Number of families earning Rs 10000 − 13000 per month and owning exactly 2 vehicles = 29 Hence, required probability, P = 29/2400 (ii) Number of families earning Rs 16000 or more per month and owning exactly 1 vehicle = 579 Hence, required probability, P = 579/2400 (iii) Number of families earning less than Rs 7000 per month and does not own any vehicle = 10 Hence, required probability, P = 10/2400 = 1/240 (iv) Number of families earning Rs 13000 − 16000 per month and owning more than 2 vehicles = 25 Hence, required probability, P = 25/2400 = 1/96 (v) Number of families owning not more than 1 vehicle = 10 + 160 + 0 + 305 + 1 + 535 + 2 + 469 + 1 + 579 = 2062 Hence, required probability, P = 2062/2400 = 1031/1200 |
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