7. 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 is given in the following table:
Age of Drivers Accidents in one year
More than 3
(in years) 0 1 2 3 accidents
18-29 440 160 110 61
35
30-50 505 125 | 60 22
18
Over 50 360 45 35 15
Find the probabilities of the following events for a driver chosen at random from the city
(1) The driver being in the age group 18-29 years and having exactly 3 accidents in
one year
(i) The driver being in the age group of 30-50 years and having one or more accidents
in a year.
(ii) Having no accidents in the year.
8. What is the probability that a randomly
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Answered by
9
Answer:
Total number of drivers = 2000
Number of trials = 2000
(1) The number of drivers having ages in 18 - 29 years and exactly 3 accidents in one year = 61.
Probability ( driver is 18 - 29 years old with exactly 3 accidents ) =
2000
61
.
(2) The number of drivers having ages in 30 - 50 years and with one or more accidents in one year = 125 + 60 + 22 + 18 = 225
Probability ( driver is 30 - 50 years old with with one or more accidents in one year ) =
2000
225
=
2
9
.
(3) The number of drivers having no accidents in one year = 440 + 505 + 360 = 1305
Probability ( number of drivers having no accidents in one year ) =
2000
1305
=
400
261
.
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Answer:
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