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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.

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Solution

## 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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