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The frequency distribution chart for the 30-day average of the parts per million sulphur dioxide content in the air of a certain city is provided below.

What is the probability that any of these days will have a sulphur-dioxide concentration in the range of 0.12 to 0.16?

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115

215

315

415

answer is A.

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Detailed Solution

Given a table on the concentration of sulphur-dioxide for 30 days.
Question Image

We have to find the probability that any of these days will have a sulphur-dioxide concentration in the range of 0.12 to 0.16.
The probability of an event A is given by,

P (A) = Number of favourable outcomes T o t a l number of outcomes

The concentration of

S O 2

in a city in 30 days, then

n (S) = 30

.
Let

A

be the event of getting concentration between

0.12 − 0.16

then

n (A) = 2

.
The probability that any of these days will have a sulphur-dioxide concentration in the range of 0.12 to 0.16 is given by,

P (A) = n (A) n (S) ⇒ P (A) = 230 ⇒ P (A) = 115

The probability of getting concentration between

0.12 − 0.16 is 115

.
Hence, option 1 is the correct option.

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