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Introduction To Mathematical Modelling

Question
CBSEENMA9004021

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

Solution not provided.
Ans.  (i) 0.0305 = 0.031 (ii) 0.1125 = 0.113 (iii) 0.653