Introduction to Mathematical Modelling

Question

An insurance company selected 1600 drivers at random in a particular city to find a relationship between age and number of accidents. The data obtained are given in the following table:

 

No. of accidents (in one year)

Age of drivers (in years)

0

1

2

3

More than 3

18–25

320

125

75

45

30

25-40

400

45

50

15

10

40-55

150

85

13

8

10

Above 55

150

25

17

20

7

Find the number of drivers
(a)  in the age of 25–40 years and has more than 2 accidents in the year.
(b)  the age is above 40 years and has accidents more than 1 but less than 3.

Answer

(a) The number of drivers in the age of 25-40 years and has more than 2 accidents in the year  = 15+10 = 25

(b) The number of drivers the age of whose is 40 years and has accidents more than 1 but less than 3 = 13 + 17 = 30.

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