Read the Source/ Text given below and answer these questions: In … - Vidyadip

Question

Read the Source/ Text given below and answer these questions:
In a healthcare survey by the state government of Maharashtra to study the malnutritional problems in children, $1000$ families with $2$ children were selected randomly from a town and the following data were recorded:

If a family is chosen at random.
$i.$ The probability that is no boy:
$a. -\frac{6}{25}$
$b. \frac{6}{25}$
$c. 0$
$d. \frac{3}{5}$
$ii.$ The probability that it has one boy:
$a.\frac{14}{25}$
$b.\frac{16}{25}$
$c.1$
$d. \frac{6}{25}$
$iii.$ The probability that it has $2$ boys:
$a.\frac35$
$b.\frac45$
$c.\frac15$
$d. \frac{3}{5}$
$iv.$ The probability that it has at least one boy:
$a.\frac{16}{25}$
$b.\frac{14}{25}$
$c.\frac{6}{25}$
$d. \frac{19}{25}$
$v.$ The probability that it has at most $1$ boy:
$a.\frac45$
$b.\frac65$
$c.\frac15$
$d. \frac15$

✓

Answer

$(i)$	$(b)$	$\frac{6}{25}$
$(ii)$	$(a)$	$\frac{14}{25}$
$(iii)$	$(c)$	$\frac15$
$(iv)$	$(b)$	$\frac{14}{25}$
$(v)$	$(a)$	$\frac45$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "Case study (4 Marks)" from Statistics→Statistics — all question types→Maths STD 9 question papers→Gujarat Board STD 9 question papers→Gujarat Board question paper generator→

Similar questions

To beautify parks in a city, city municipal corporation decided to make triangular flower beds in parks as shown in Fig. The dimensions of a triangular flower bed are $75 m \times 80 m \times 85 m$. Based on this information answer the following questions:

(i) If each triangular flower bed is to be fenced with two parallel wires one below the other than the length of the wire used is
(a) 120 m$\quad$(b) 240 m$\quad$(c) 260 m$\quad$(d) 480 m
(ii) The area of a flower bed is
(a) $300 \sqrt{42} m^2$$\quad$(b) $300 \sqrt{21} m^2$$\quad$(c) $600 \sqrt{21} m^2$$\quad$(d) $400 \sqrt{21} m^2$
(iii) If each triangular bed is an equilateral triangle of side 60 m, then its area is
(a) $900 \sqrt{3} m^2$$\quad$(b) $600 \sqrt{3} m^2$$\quad$(c) $1200 \sqrt{3} m^2$$\quad$(d) $400 \sqrt{3} m^2$
(iv) The area of an isosceles triangle with base 'a' and equal sides 'b' is given by
(a) $\frac{a}{4} \sqrt{4 b^2-a^2}$$\quad$(b) $\frac{b}{4} \sqrt{4 a^2-b^2}$$\quad$(c) $\frac{a}{2} \sqrt{2 b^2-a^2}$$\quad$(d) $\frac{b}{2} \sqrt{4 a^2-b^2}$
(v) If each triangular bed is in the form of an isosceles triangle with base 60 m and equal sides of length 40 m each, then area of a flower bed is
(a) $150 \sqrt{7} m^2$ $\quad$(b) $75 \sqrt{7} m^2$ $\quad$(c) $300 \sqrt{7} m^2$ $\quad$(d) $200 \sqrt{7} m^2$

→

Read the following text carefully and answer the questions that follow:
Ladli Scheme was launched by the Delhi Government in the year $2008$. This scheme helps to make women strong and will empower a girl child. This scheme was started in $2008$.
The expenses for the scheme are plotted in the following bar chart.

$i$. What are the total expenses from $2009$ to $2011$?
$ii$. What is the percentage of no of expenses in $2009-10$ over the expenses in $2010-11$?
$iii$. What is the percentage of minimum expenses over the maximum expenses in the period $2007-201$1?
OR
What is the difference of expenses in $2010-11$ and the expenses in $2006-09$?

Read the following text carefully and answer the questions that follow:
Reeta was studying in the class $9^{th} C$ of St. Surya Public school, Mehrauli, New Delhi$-110030$
Once Ranjeet and his daughter Reeta were returning after attending teachers' parent meeting at Reeta's school.
As the home of Ranjeet was close to the school so they were coming by walking.
Reeta asked her father, "Daddy how old are you?"
Ranjeet said, "Sum of ages of both of us is $55$ years, After $10$ years my age will be double of you.

$i.$ What is the second equation formed?
$ii.$ What is the present age of Reeta in years?
$iii.$ What is the present age of Ranjeet in years?
OR
If the ratio of age of Reeta and her mother is $3 : 7$ then what is the age of Reeta's mother in years?

Read the following text carefully and answer the questions that follow:
A golf ball is spherical with about $300 - 500$ dimples that help increase its velocity while in play. Golf balls are traditionally white but available in colours also. In the given figure, a golf ball has diameter $4.2 \ cm$ and the surface has $315$ dimples $($hemi$-$spherical$)$ of radius $2 mm.$

$i.$ Find the surface area of one such dimple.
$ii.$ Find the volume of the material dug out to make one dimple.
$iii.$ Find the total surface area exposed to the surroundings.
OR
Find the volume of the golf ball.

Read the Source/ Text given below and answer any four questions: The weights of newborn babies $($in $kg.)$ are recorded to maintain the health report cards in Apollo hospital on regular basis. On a particular day the weights of newborn recorded are are as follows$: \ 3.1, 3.0, 2.9, 2.9, 2.8, 2.8, 2.7, 2.7, 2.6, 2.5, 2.5, 2.4, 2.3, 2.2, 2.1.$

$i.$ Determine the range:
$a. 1.0\ Kg$
$b. 2.1\ Kg$
$c. 2.7\ Kg$
$d. 2.0\ kg$
$ii.$ How many babies were born on that day$?$
$a.11$
$b.15$
$c.12$
$d.16$
$iii.$ How many babies weight below $2.5\ kg?$
$a.3$
$b.4$
$c.5$
$d.6$
$iv.$ How many babies weigh more than $2.8\ kg?$
$a.1$
$b.2$
$c.3$
$d.4$
$v.$ How many babies weight $2.8\ kg?$
$a.1$
$b.2$
$c.3$
$d.4$

A shipment service provider uses three types of containers for shipping materials. The height and
width of the three containers are the same. The containers’ height is $0.15 m$ more than their width, and the volume of the smallest container is $652 m^3$

$1.$ Write a polynomial relating Container $1’s$ length, breadth and height with its volume.
$2.$ Which of the following statements is true$?$
$A.$ The volume of the three containers is the same.
$B.$ The length of the three containers is the same.
$C.$ The volume of Container $3$ is $2,608 m^3.$
$D.$ The length of Container $3$ is $4$ times the length of Container $2.$
$3.$ What is the height of each container$?$

The figure below shows an equilateral triangle bounded by two straight lines.

What is the sum of the four marked angles$?$

Read the following text carefully and answer the questions that follow:
There was a circular park in Defence colony at Delhi. For fencing purpose poles $A, B, C$ and $D$ were installed at the circumference of the park.Ram tied wires From $A$ to $B , B$ to $C$ and $C$ to $D , $ and he managed to measure the $\angle A =100^{\circ}$ and $\angle D =80^{\circ}$
Point $O$ in the middle of the park is the center of the circle.

$i.$ Name the quadrilateral $\text{ABCD} .$
$ii$. What is the value of $\angle C$ ?
$iii$. What is the value of $\angle B$.
OR
Write any three properties of cyclic quadrilateral?

Five friends Anchal, Amisha, Mahi, Vaishu and Sahar are living in a hostel.
At the end of every month, they calculate the expenses on food and shopping.
The table given below shows their monthly expenses for the month of November.

Name	Anchal	Amisha	Mahi	Vishu	Sahar
Expenditure (in Rs)	$3000$	$5000$	$6000$	$4500$	$7000$

$1.$ Which graphical representation method would best represent the data given$?$
$2.$ What is the average expense of the friends for the month of November$?$
$3.$ Anchal says, “The difference between the median expenditures for October and November amounts to $0\%$ of the November expense, and we have been able to reduce our median expense for November.”
What was their median expense for the month of October$?$
$A. 12π$
$B. 15π$
$C. 19π$
$D. 20π$

$1.$ Highways $20A$ and $56C$ run parallel to each other for $20 km$ in a state.
Which of the following statements is most likely to be true regarding them$?$
$A.$ Both highways are of the same length.
$B.$ There can be no link road between them.
$C.$ The highways make an angle $90^\circ $ with each other.
$D.$ The distance between the two highways remains almost the same in the state.