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InterviewSolution
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An organisation selected 2400 families at random and surveyed them to determine relationship between income level and the number of vechicles in a family. The information gathered is listed in the table below: Suppose 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» Total number of families selected by the organisation, n(S) = 2400 (i) The number of families earning Rs. 10000-13000 per month and owing exactly 2 vehicles, `n(E_(1))=29` `therefore" Required probability"=(n(E_(1)))/(n(S))=(29)/(24000)` (ii) The number of families earning Rs. 16000 or more per month and owing exactly 1 vehicle, `n(E_(2))=579` `therefore" Required probability"=(n(E_(2)))/(n(S))=(579)/(2400)` (iii)The number of families earning less than Rs. 7000 per month and does not own any vehicle, `n(E_(3))=10` `therefore" Required probaility" = (n(E_(3)))/(n(S))=(10)/(2400)=(1)/(240)` (iv) The number of families earning Rs. 13000-16000 per month and owing more than 2 vehicles, `n(E_(4))=25` `therefore" Required probability" = (n(E_(4)))/(n(S))=(25)/(2400)=(25)/(2400)=(1)/(96)` (v) The number of families owing not more than 1 vechicle, `n(E_(5))=(10+1+2+1)+(160+305+535+469+579)=2062` `therefore" Required probability"=(n(E_(5)))/(n(S))=(2062)/(2400)=(1031)/(1200)` |
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