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- of days 4 8 9 2 4 3- - Find the probability of conentration of sulphur dioxide in the interval 0-12-0-16 on any of these days-

Total number of days (n)=30 [ Conc. of SO_2 amp; 0.00 0.04 amp; 0.04 0.08 amp; 0.08 0.12 amp; 0.12 0.16 amp; 0.16 0.20 amp; 0.20 0.24; No. of days ...

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Standard IX

Mathematics

Experimental/Empirical Probability

Given below i...

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.

$\begin{matrix} Conc. of S O_{2} & 0.00 - 0.04 & 0.04 - 0.08 & 0.08 - 0.12 & 0.12 - 0.16 & 0.16 - 0.20 & 0.20 - 0.24 No. of days & 4 & 8 & 9 & 2 & 4 & 3 \end{matrix}$

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

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Solution

Total number of days (n)=30

$\begin{matrix} Conc. of S O_{2} & 0.00 - 0.04 & 0.04 - 0.08 & 0.08 - 0.12 & 0.12 - 0.16 & 0.16 - 0.20 & 0.20 - 0.24 No. of days & 4 & 8 & 9 & 2 & 4 & 3 \end{matrix}$

Probability of conc. of $S O_{2}$ of the interval 0.12-0.16(m)=2

$∴$ Probability P(A) = $\frac{m}{n} = \frac{1}{15}$

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Similar questions

Q. 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.

\begin{matrix} {Concentration of SO}_{2} (in ppm) & Number of days (frequency) 0.00 - 0.04 & 4 0.04 - 0.08 & 9 0.08 - 0.12 & 9 0.12 - 0.16 & 2 0.16 - 0.20 & 4 0.20 - 0.24 & 2 Total & 30 \end{matrix}

The above frequency distribution table represents the concentration of Sulphur dioxide in the air in parts per million of a certain city for 30 days. Using this table,
find the probability of the concentration of Sulphur dioxide in the interval 0.12−0.16 on any of these days.

Q. Question 12

\begin{matrix} C o n c e n t r a t i o n o f S O_{2} (i n p p m) & N u m b e r o f d a y s (f r e q u e n c y) 0.00 - 0.04 & 4 0.04 - 0.08 & 9 0.08 - 0.12 & 9 0.12 - 0.16 & 2 0.16 - 0.20 & 4 0.20 - 0.24 & 2 T o t a l & 30 \end{matrix}

Concentration of SO₂ (in ppm)	Number of days (frequency )
0.00 − 0.04	4
0.04 − 0.08	9
0.08 − 0.12	9
0.12 − 0.16	2
0.16 − 0.20	4
0.20 − 0.24	2
Total	30

The above frequency distribution table represents the concentration of sulphur dioxide in the air in parts per million of a certain city for 30 days. Using this table, find the probability of the concentration of sulphur dioxide in the interval 0.12 − 0.16 on any of these days.

Q. A study was conducted to find out the concentration of sulphur dioxide in the air in parts per million (ppm) of a certain city. The data obtained for 30 days is as follows:

\begin{matrix} 0.03 & 0.08 & 0.08 & 0.09 & 0.04 & 0.17 0.16 & 0.05 & 0.02 & 0.06 & 0.18 & 0.20 0.11 & 0.08 & 0.12 & 0.13 & 0.22 & 0.07 0.08 & 0.01 & 0.10 & 0.06 & 0.09 & 0.18 0.11 & 0.07 & 0.05 & 0.07 & 0.01 & 0.04 \end{matrix}

Using this table, find the probability of the concentration of sulphur dioxide in the interval

0.12 - 0.16

on any of these days.

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Total number of days (n)=30 Conc. of SO20.00−0.040.04−0.080.08−0.120.12−0.160.16−0.200.20−0.24No. of days489243 Probability of conc. of SO2 of the interval 0.12-0.16(m)=2 ∴ Probability P(A) =mn=115