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in Probability by (65.5k points)

An organisation 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

Monthly Income (in Rs.) Vehicles per family
0 1 2 Above 2
Less than 7000 10 160 25 0
7,000 – 10,000 0 305 27 2
10,000- 13,000 1 535 29 1
13,000- 16,000 2 469 59 25
16,000 or more 1 579 82 88

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.

1 Answer

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Best answer

Total number of families surveyed = 2400 

∴ n(S) = 2400 

(i) earning Rs. 10000 – 13000 per month and owning exactly 2 vehicles = 29 

∴ n(A) = 29

(ii) earning Rs. 16000 or more per month and owning exactly 1 vehicle = 579 

∴ n(B) = 579

(iii) earning less than Rs. 7000 per month and does not own any vehicle =10 

∴ n(C) = 10

(iv) earning Rs. 13000 – 16000 per month and owning more than 2 vehicles = 25 

∴ n(D) = 25

(v) owning not more than 1 vehicle 10 + 0 + 1 + 2 + 1 + 160 + 305 + 535 + 469 + 579 = 2062 

∴ n(E) = 2062

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