Monthly income (in ₹) | 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 | 59 | 25 |
16000 or more | 1 | 579 | 82 | 88 |
Solution
Given
According to the given data
Total number of families = 2400
(i) earning ₹10000 – 13000 per month and owning exactly 2 vehicles.
The probability that the family chosen is earning ₹10000 – 13000 per month and owning exactly 2 vehicles =
(Numbers of families earning ₹10000 –13000 per month and owning exactly 2 vehicles) / (Total number of families)
= 29/2400
(ii) earning ₹16000 or more per month and owning exactly 1 vehicle.
Number of families earning ₹16000 or more per month and owning exactly 1 vehicle = 579
The probability that the family chosen is earning ₹16000 or more per month and owning exactly 1 vehicle =
(Number of families earning ₹16000 or more per month and owning exactly 1 vehicle) / (Total number of families)
=579/2400
(iii) earning less than ₹7000 per month and does not own any vehicle.
Number of families earning less than ₹7000 per month and does not own any vehicle = 10
The probability that the family chosen is earning less than ₹7000 per month and does not own any vehicle =
(Number of families earning less than ₹7000 per month and does not own any vehicle)/(Total number of families)
= 10/2400 = 1/240
(iv) earning ₹13000 – 16000 per month and owning more than 2 vehicles.
Number of families earning ₹13000-16000 per month and owning more than 2 vehicles = 25
The probability that the family chosen is earning ₹13000 – 16000 per month and owning more than 2 vehicles =
(Number of families earning ₹13000-16000 per month and owning more than 2 vehicles ) / (Total number of families)
= 25/2400 = 1/96
(v) owning not more than 1 vehicle.
Number of families owning not more than 1 vehicle = 10+160+0+305+1+535+2+469+1+579 = 2062
The probability that the family chosen owns not more than 1 vehicle = 2062/2400 = 1031/1200