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:


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

Explanation

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
...