A company selected 2400 families at random and survey them to determine a relationship between income level and the number of vehicles in a home. The information gathered is listed in the table below: Monthly income (in Rs.) Vehicles per family     0 1 2 Above 2 Less than 7000 10 160 25 0 7000-10000 0 305 27 2 10000-13000 1 535 29 1 13000-16000 2 469 29 25 16000 or more 1 579 82 88 If a family is chosen, find the probability that the family is: earning Rs. 10000-13000 per month and owning exactly 2 vehicles. earning Rs. 16000 or more per month and owning exactly 1 vehicles. Earning less than Rs. 7000 per month and does not own any vehicle. Earning Rs. 13000-16000 per month and owning more than 2 vehicle. owning not more than 1 vehicle owning at least one vehicle.

Explanation

Total number of outcomes=`2400`
(i)P(families earning Rs. 10000-13000 per month and owning exactly 2 vehicles)=`"No. of families earning Rs. 10000-13000 per month and owning exactly 2 vehicles"/"Total number of outcomes"`
`=29/2400`
(ii)P(families earning Rs. 16000 or more per month and owning exactly 1 vehicle)=`"No. of families earning Rs. 16000 or more per month and owning exactly 1 vehicle"/"Total number of outcomes"`
`=579/2400`
(iii)P(families earning less than Rs. 7000 per month and does not own any vehicle)=`"No. of families earning less than Rs. 7000 per month and does not own any vehicle"/"Total number of outcomes"`
`=10/2400=1/240`
(iv)P(families earning Rs. 13000-16000 per month and owning more than 2 vehicle)=`"No. of families earning Rs. 13000-16000 per month and owning more than 2 vehicle"/"Total number of outcomes"`
`=25/2400`
(v)P(families owning not more than 1 vehicle)=`"No. of families owning not more than 1 vehicle"/"Total number of outcomes"`
`=2062/2400`
(vi)P(families owning at least one vehicle)=`"No. of families owning at least one vehicle"/"Total number of outcomes"`
`=2356/2400`