Question types

Board Question Paper : March 2020 question types

48 questions across 6 question groups — pick any mix to generate a Statistics paper with step-by-step answer keys.

48
Questions
6
Question groups
5
Question types
Sample Questions

Board Question Paper : March 2020 questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1MCQ1 Mark
If $y=a x+b$, where $a$ and $b$ are constants then what wil be $\frac{d y}{d x}$ ?
  • $a$
  • B
    $b$
  • C
    $a+b$
  • D
    $0$

Answer: A.

View full solution
Q 2MCQ1 Mark
What is the value of $\lim _{x \rightarrow 3} 3 x-1$ ?
  • A
    $9$
  • B
    $10$
  • C
    $\frac{4}{3}$
  • $8$

Answer: D.

View full solution
Q 3MCQ1 Mark
Mean and the first quartile for a normal distribution are $11$ and $3$ respectively. Which of the following is the value of the third quartile $?$
  • A
    $8$
  • B
    $14$
  • $19$
  • D
    $10$

Answer: C.

View full solution
Q 4MCQ1 Mark
In normal distribution usually which limits include $99 \%$ of the observations ?
  • A
    $\mu \pm 1.96 \sigma$
  • B
    $\mu \pm 2 \sigma$
  • C
    $\mu \pm 3 \sigma$
  • $\mu \pm 2.575 \sigma$

Answer: D.

View full solution
Q 5MCQ1 Mark
The binomial distribution has mean $5$ and variance $\frac{10}{7}$. What will be the type fo this distribution?
  • A
    Positively skewed
  • Negatively skewed
  • C
    Symmetric
  • D
    Nothing can be said about the distribution

Answer: B.

View full solution
Q 163 Marks Each3 Marks
The probability that the bomb dropped from a plane over a bridge will hit the bridge is $1 / 5$. Two bombs are enough to destroy the bridge. If $6$ bombs are dropped on the bridge find the probability that the bridge will be destroyed.
View full solution
Q 173 Marks Each3 Marks
Find the constant $K$ for the following discrete probability distribution. Hence obtain mean of this distribution :$P(x)=K .{ }^4 P_x, x=0,1,2,3,4$
View full solution
Q 183 Marks Each3 Marks
A number is selected from the natural number $1$ to $100 .$ Find the probability of the vent that the selected number is a multiple of $3$ or $5.$
View full solution
Q 193 Marks Each3 Marks
$3$ bulbs are defective in a box of $10$ bulbs. $2$ bulbs are randomly selected from this box. These bulbs are fixed in two bulb holders installed in a room. Find the probability that the room will be lighted after starting the electric supply. OR Draw Venn diagram for the following events $;(1)$ Mutually exclusive events. $(2)$ Union of events. $(3)$ Intersection of events.
View full solution
Q 214 Marks Each4 Marks
Find the maximum and minimum values of $y=x^3-2 x^2-4 x-1$. OR The daily cost of production for $x$ tons of a commodity is $10 x^2-1000 x+50000$. How many units should be produced for the minimum cost ? Also, find the minimum cost.
View full solution
Q 234 Marks Each4 Marks
The weight of randomly selected $500$ adult persons fom a region of a city follows normal distribution. If the average weight of these persons is $55 \ kg$ and its standard deviation is $7 \ kg$ then :
$(1)$ Estimate the number of persons having weights between $41 \ kg$ to $62 \ kg$.
$(2)$ Estimate the number of persons having weights less than $41 \ kg$. OR The monthly income of a group of $1000$ employees follows normal distribution. the maan of the distribution is $₹ 15,000$ and the standard deviation is $₹ 4,000.$ From this information, obtain range of monthly income for middle $60 \%$ of the employees.
View full solution
Q 244 Marks Each4 Marks
$(A)$ Find the probability of getting $' D\ '$ in the first place in all possible arrangements of each and every letter of th eword $\text{'DHYAN'.}$
$(B)$ Two events $A$ and $B$ in the sample space of a random experiment are mutually exclusive.If $3 P ( A )=4 P ( B )=1$ then find $P(A \cup B)$.
View full solution
Q 255 Mark Each5 Marks
The birth rates of a state in different year are given in the following table. Fit a linear tread for these data. Also find the estimate of birth rate for the year $2020:$
year $2012$ $2013$ $2014$ $2015$ $2016$ $2017$ $2018$
Birth rate $22.2$ $21.8$ $21.3$ $20.9$ $20.6$ $20.2$ $19.9$
OR Find the trend using five yearly moving averages for the following data about yearly production $($in tons$)$ of a factory :
Year $2009$ $2000$ $2011$ $2012$ $2013$ $2014$ $2015$ $2016$ $2017$ $2018$ $2019$
Production $112$ $106$ $93$ $90$ $114$ $159$ $170$ $130$ $108$ $113$ $115$
View full solution
Q 265 Mark Each5 Marks
From the following information, obtain the regression line of monthly expenditure on monthly income. If Namrata's monthly income is $₹ 75$ thousand estimate her monthly expenditure :
Monthly income $($thousand$)$ $60$ $70$ $64$ $68$ $62$ $65$ $72$
Monthly Expenditure $($thousand$)$ $50$ $59$ $57$ $50$ $53$ $58$ $60$
View full solution
Q 275 Mark Each5 Marks
From the following information obtained from a sample of $7$ families of a society regarding height of father $($in $cms)$ and height of his adult son $($in $cms ),$ calculate the correlation coefficient:
Height of father $(cm )$ $170$ $169$ $168$ $167$ $166$ $165$ $164$
Height of son $(cm )$ $172$ $168$ $170$ $168$ $165$ $167$ $166$
View full solution
Q 285 Mark Each5 Marks
Compute the Laspeyre's. Paasche's and Fisher's index numbers for the year $2019$ from the data given below:
Item Quantity price
Year $2015$ Year $2016$ Year $2015$ Year $2016$
$A$ $25 \ kg$ $32 \ kg$ $42$ $45$
$B$ $15$ litre $20$ litre $28$ $30$
$C$ $10$ pieces $20$ pieces $30$ $36$
$D$ $8$ meter $15$ meter $20$ $25$
$E$ $30$ litre $36$ litre $60$ $65$
View full solution

Generate a Board Question Paper : March 2020 paper free

Pick question groups from the list above, set marks and difficulty, and export a branded PDF with step-by-step answer keys. First 3 chapters free — no signup.

Download App