-->

Introduction To Mathematical Modelling

Question
CBSEENMA9004012

On a busy road, following data was observed about cars passing through it and number of occupants

No. of occupants

No. of cars

1

29

2

26

3

23

4

17

5

5

Suppose another car passes by. Find the chance that it has
(i)  exactly 5 occupants
(ii)  more than 2 occupants (iii) less than 5 occupants.

Solution

otal number of cars = 29 + 26 + 23 + 17 + 5= 100

(i) Number of cars having exactly 5 occupants = 5

∴ Probability that it has exactly 5 occupants = 5 over 100 equals 1 over 20

(ii) Number of cars having more than 2 occupants = 23 + 17 + 5 = 45

∴ Probability that it has more than 2 occupants equals 45 over 100 equals 9 over 20

(iii) Number of cars having less than 5 occupants = 29 + 26 + 23 + 17 = 95

∴ Probability that it has less than 5 occupants equals 95 over 100 equals 19 over 20.