An insurance company selected 2000 drivers at random (i.e., without any preference of one driver over another) in a particular city to find a relationship between age and accidents. The data obtained are given in the following table:
Table
Age of drivers |
Accidents in one year |
||||
(in years) |
0 |
1 |
2 |
3 |
over 3 |
18–29 |
440 |
160 |
110 |
61 |
35 |
30-50 |
505 |
125 |
60 |
22 |
18 |
Above 50 |
360 |
45 |
35 |
15 |
9 |
Find the probabilities of the following events for a driver chosen at random from the city:
(i) being 18–29 years of age and having exactly 3 accidents in one year.
(ii) being 30-50 years of age and having one or more accidents in a year.
(iii) having no accidents in one year.
Solution not provided.
Ans. (i) 0.0305 = 0.031 (ii) 0.1125 = 0.113 (iii) 0.653