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 7000-10000 10000-13000 13000-16000 16000 or more | 10 0 1 2 1 | 160 305 535 469 579 | 25 27 29 29 82 | 0 2 1 25 88 |
If a family is chosen find the probability that the family is:
(i) earning Rs. 10,000 – 13,000 per month and owning exactly 2 vehicles.
(ii) earning Rs. 16,000 or more per month and owning exactly 1 vehicles.
(iii) earning less than Rs. 7,000 per month and does not own any vehicles.
(iv) earning Rs. 13,000 – 16,000 per month and owning more than 2 vehicles.
(v) owning not more than 1 vehicle.
(vi)owning at least one vehicle.
Given,
(i) The probability that the family is earning Rs. 10,000 – 13,000 per month and owning exactly 2 vehicles =
(ii) The probability that the family earning Rs. 16,000 or more per month and owning exactly 1 vehicles =
(iii) The probability that the family earning less than Rs. 7,000 per month and does not own any vehicles =
(iv) The probability that the family earning Rs. 13,000 – 16,000 per month and owning more than 2 vehicles =
(v) The probability that the family owning not more than 1 vehicle =
(vi) The probability that the family owning at least one vehicle =