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Question -

Given below is the frequency distribution table regarding the concentration of sulphur dioxide in the air in parts per million of a certain city for 30 days.
 

Conc. of SO2

0.00-0.04

0.04-0.08

0.08-0.12

0.12-0.16

0.16-0.20

0.20-0.24

No. days:

4

8

9

2

4

3

Find the probability of concentration of sulphur dioxide in the interval
0.12-0.16 on any of these days.



Answer -

The total number of trials is 30.
Remember the empirical or experimental or observed frequency approach to probability.
If n be the total number of trials of an experiment and A is an event associated to it such that A happens in m-trials. Then the empirical probability of happening of event A is denoted byand is given by
 
Let A1 be the event that the concentration of sulphur dioxide in a day is 0.12-0.16 parts per million.
The number of times A1 happens is 2.
Therefore, we have

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