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Maths 2 Mark Question

Probability · Maharashtra Board STD 9 (MSBSHSE - Semi English Medium). 2 questions.

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Question 12 Marks
following table show the birth month of 40 students in class IX:
Jan
Feb
Mar
Apr
May
June
July
Aug
Sep
Oct
Nov
Dec
3
4
2
2
5
1
2
6
3
4
4
4
Find the probability that a student is born in August.
Answer
Probability that a student is born in the month of August$=\frac{\text{No. of students born in october}}{\text{Total no. of students}}$
$=\frac{6}{40}$
$=\frac{3}{20}$
$=0.15$
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Question 22 Marks
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.
Concentration of $SO_2$
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
Find the probability of the concentration of sulphur dioxide in the interval 0.12 - 0.16 on any of these days.
Answer
Total no of days: 30 Probability of concentration of $SO_2$ in interval 0.12 - 0.16
$=\frac{\text{Favorable out come}}{\text{Total out come}}$
$=\frac{2}{30}$
$=\frac{1}{15}$
$=0.06$
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