2 Marks 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 $\mathrm{SO}_2$	$0.00 - 0.04$	$0.04 - 0.08$	$0.08 - 0.12$	$0.12 - 0.16$	$0.16 - 0.20$	$0.20 - 0.24$
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 $\mathrm{SO}_2$ 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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Maths 2 Marks Questions

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