Question for NTA UGC NET Statistics 2026 - Quiz / Questions / MCQ

Objective Questions

Latest UGC NET Statistics Exam Question (Objective Questions), MCQ in English

Subjects : Teaching/ Research Aptitude, Domain knowledge (Statistics)

Question Bank UGC NET Statistics Exam - English

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Teaching/ Research Aptitude

Question 1Single Answer

Which of the following statements is true?

A
Computer aided education can replace a teacher
B
Computer aided education can assist a teacher
C
On-line teaching and face-to-face teaching both are effective
D
Face-to-face teaching is less effective than online teaching

Question 2Single Answer

In order to solve the problem of aimlessness in education, we should develop -

A
democratic citizenship
B
centralized education
C
education
D
reform the administrative set-up

Question 3Single Answer

Passage :

Direction: Study the table given below and answer question (The table consists of marks obtained by candidates in different subject)
Marks obtained in different subjects by various candidates

	Subjects (maximum marks)
Students	Maths	Chemistry	Physics	Geography	History	Computer Science
Students	(150)	(130)	(120)	(100)	(100)	(100)
Ayush	90	50	90	60	70	80
Aman	100	80	80	40	80	70
Sajal	90	60	70	70	90	70
Rohit	80	65	80	80	60	60
Muskan	80	65	85	95	50	90
Tanvi	70	75	65	85	40	60
Tarun	65	35	50	77	80	80

What is the average of marks obtained by Aman for all subjects?

A
72
B
75
C
80
D
85

Question 4Single Answer

Passage :

Direction: Study the table given below and answer question (The table consists of marks obtained by candidates in different subjects)
Marks obtained in different subjects by various candidates

	Subjects (maximum marks)
Students	Maths	Chemistry	Physics	Geography	History	Computer Science
Students	(150)	(130)	(120)	(100)	(100)	(100)
Ayush	90	50	90	60	70	80
Aman	100	80	80	40	80	70
Sajal	90	60	70	70	90	70
Rohit	80	65	80	80	60	60
Muskan	80	65	85	95	50	90
Tanvi	70	75	65	85	40	60
Tarun	65	35	50	77	80	80

What is the approximate percentage of marks obtained by Ayush?

A
62.8
B
72.5
C
75
D
74

Question 5Single Answer

Passage :

	Subjects (maximum marks)
Students	Maths	Chemistry	Physics	Geography	History	Computer Science
Students	(150)	(130)	(120)	(100)	(100)	(100)
Ayush	90	50	90	60	70	80
Aman	100	80	80	40	80	70
Sajal	90	60	70	70	90	70
Rohit	80	65	80	80	60	60
Muskan	80	65	85	95	50	90
Tanvi	70	75	65	85	40	60
Tarun	65	35	50	77	80	80

What is the average of marks obtained by all candidates in Physics?

A
62.85
B
74.28
C
78.52
D
None of the above

Question 6Single Answer

Passage :

Direction : The question below, two statements are followed by two conclusion I and II. Assuming that the given statements are true even if they are at variance with the commonly known facts, pick up one of the following answer choice which you think is correct.

Statements
Some tables are golden.
All teaks are tables.
Conclusions
I. Some teaks are golden.
II. Some golden are teak.

A
If only conclusion I follows
B
If only conclusion II follows
C
If both I and II follow
D
If neither I nor II follows

Question 7Single Answer

Passage :

Direction: The question below, two statements are followed by two conclusion I and II. Assuming that the given statements are true even if they are at variance with the commonly known facts, pick up one of the following answer choice which you think is correct.

Statements
No man is a tiger.
Karan is a man.
Conclusions
I. Karan is not a tiger.
II. All men are not Karan.

A
If only conclusion I follows
B
If only conclusion II follows
C
If both I and II follow
D
If neither I nor II follows

Question 8Single Answer

Passage :

Statements
All boys are men.
All men are fathers.
Conclusions
I. Some men are boys.
II. All boys are fathers.

A
If only conclusion I follows
B
If only conclusion II follows
C
If both I and II follow
D
If neither I nor II follows

Question 9Single Answer

ICT stands for -

A
Information and communication technology
B
Information controlled technology
C
Information capable technology
D
None of the above

Question 10Single Answer

Which of the following is also termed as multimedia education?

A
ICT supported education
B
ICT enabled education
C
ICT education
D
None of the above

Question 11Single Answer

Information and communication technology includes

A
Online learning
B
Learning through the use of EDUSAT
C
Web-based learning
D
All of the above

Question 12Single Answer

The term ecosystem was coined by -

A
Arthur Tansley
B
Al Gore
C
Mobius
D
Mobius

Question 13Single Answer

Who first used and defined Ecology in 1866?

A
H. Reiter
B
Haeckel
C
Charles Elton
D
Odum

Question 14Single Answer

In the study of man-environment interaction, the statement of Miss Sample that 'the humans are slowly the product of their environment' is

A
An opinion
B
A prejudice
C
A fact
D
A widely accepted phenomenon

Question 15Single Answer

The main governing body at the tertiary level of education in India is -

A
NCERT
B
CBSE
C
AICTE
D
UGC

Question 16Single Answer

Government established the University Grants Commission by an act of Parliament in the year

A
1980
B
1948
C
1950
D
1956

Question 17Single Answer

The tertiary education includes

A
Primary and secondary education
B
Higher education
C
Vocational education and training
D
(d) Both (b) and (c)

Question 18Single Answer

Find the missing number in the following series.
8, 24, 12, ?, 18, 54

A
26
B
24
C
36
D
32

Question 19Single Answer

Find the missing number in the following series.
28, 33, 31, 36, ?, 39

A
30
B
32
C
33
D
34

Question 20Single Answer

Find the missing number in the following series.
1, 3, 4, 8, 15, 27, ?

A
45
B
50
C
55
D
60

Question 21Single Answer

When we say that communication is intentional, it means that -

A
Sender consciously intends to affect the behaviour of receiver of the message
B
Effective communication is a process of acting on information
C
Through speech communication, people make sense of the world
D
None of the above

Question 22Single Answer

Communication is the transfer and understanding of

A
Ideas
B
Concepts
C
Meaning
D
Words

Question 23Single Answer

Which of the following can be termed as the 'context' of communication?

A
An interference with message reception
B
Effective communication
C
Verbal and non-verbal responses to messages
D
A physical and psychological environment for conversation

Question 24Single Answer

Passage :

Read the following passage and answer the question :

The Great Acharyas have said that everything discovered has a great goal; surrender yourself to that goal and act towards it by drawing your inspiration from that goal whereby you will get a new column of energy. Do not allow this energy to be dissipated in the futile memory of past regrets or failures, or excitement of the present, and bring that is, the highest creative action in the world considered the most inefficient finds his way to the highest achievement and success.

This can be said very easily in a second. In order to train our mind to this attitude, considerable training is needed because we have already trained our mind wrongly to such an extent that we have become perfect in imperfections. Nor knowing the art of action, we have mastered artists in doing wrong things; the totality of activity will be the country to a wrong end indeed.
If each one is given a car to achieve an ideal socialistic pattern and nobody knows driving, but starts driving, what would be the condition on road? Everybody has equal rights on the public road. Then, each car will necessarily dash against the other and there is bound to be a jumble.
There seems to be a very apt pattern of life that we are heading to. Every one of us is a vehicle. We know how to go forward. The point intellect is very powerful and everybody is driving but and direct it properly or guide it to the proper destination.

What is the effect of wrong training of our mind?

A
Becoming perfect in all aspects of life
B
Becoming master artists
C
Taking the country to wrong destination
D
Carrying on activities without knowing how to control mental energies

Question 25Single Answer

Passage :

Read the following passage and answer the question
The Great Acharyas have said that everything discovered has a great goal; surrender yourself to that goal and act towards it by drawing your inspiration from that goal whereby you will get a new column of energy. Do not allow this energy to be dissipated in the futile memory of past regrets or failures, or excitement of the present, and bring that is, the highest creative action in the world considered the most inefficient finds his way to the highest achievement and success.
This can be said very easily in a second. In order to train our mind to this attitude, considerable training is needed because we have already trained our mind wrongly to such an extent that we have become perfect in imperfections. Nor knowing the art of action, we have mastered artists in doing wrong things; the totality of activity will be the country to a wrong end indeed.
If each one is given a car to achieve an ideal socialistic pattern and nobody knows driving, but starts driving, what would be the condition on road? Everybody has equal rights on the public road. Then, each car will necessarily dash against the other and there is bound to be a jumble.
There seems to be a very apt pattern of life that we are heading to. Every one of us is a vehicle. We know how to go forward. The point intellect is very powerful and everybody is driving but and direct it properly or guide it to the proper destination.

The source of energy according to the author is

A
Highest creative action
B
Proper training of mind
C
Inspiration from past events
D
Stimulation obtained from a set goal

Question 26Single Answer

Passage :

The author's main focus in the passage is

A
Finding out a worthy goal in life
B
Regulation of energy in proper channels
C
Struggle for equal rights
D
Car accidents due to lack of driving skills

Question 27Single Answer

Passage :

The country may perish because of

A
Failures in past acts
B
Wrong deeds performed without proper knowledge
C
Complete surrender to anyone goal
D
Directing mental energy to the right destination

Question 28Single Answer

Research is -

A
A purposeful, systematic activity
B
Conducted for purely academic purposes.
C
Conducted to answer questions about practical issues.
D
A random, unplanned process of discovery

Question 29Single Answer

The research is always

A
Verifying the old knowledge
B
Exploring new knowledge
C
Filling the gaps between the knowledge
D
All of the above

Question 30Single Answer

All good research aims at

A
Betterment of the society
B
Developing generalizations, theories, and principles
C
Solving routine problem
D
None of the above

Question 31Single Answer

Which of the following is/are the basic paradigms in classroom teaching?

A
Learning paradigm
B
Instructional paradigm
C
Both (a) and (b)
D
None of the above

Question 32Single Answer

The prime requirement to become a good teacher is to have

A
Genuine interest in teaching
B
Knowledge about controlling students
C
Subject knowledge
D
Good expression

Question 33Single Answer

Which is the main objective of research?

A
To review the literature
B
To summarize what is already known
C
To get an academic degree
D
To discover new facts or to make fresh interpretation of known facts

Question 34Single Answer

Sampling error decreases with the

A
decrease in sample size
B
increase in sample size
C
process of randomization
D
process of analysis

Question 35Single Answer

Identify the fallacy in the following argument: "Alan is tall, dark and handsome and has blue eyes. Bill is also tall, dark and handsome".

A
Inconsistency
B
Weak analogy
C
Slippery slope
D
Hasty generalisation

Question 36Single Answer

According to Jaina philosophy, which among the following is not a form of indirect knowledge.

A
Smrti
B
Pratyabhijna
C
Tarka
D
Naya

Question 37Single Answer

Identify the number that occurs in the series 2, 10, 30, 68, 130, ....
(A)738
(B) 349
(C) 520
(D) 222
Choose the correct answer from the options given below:

A
A, B and C only
B
B, C and D only
C
A, C and D only
D
A, B and D only

Question 38Single Answer

Arrange the following gases in the ascending order of their global warning potential (GWD):
(A) CO₂
(B) CH
(C) SF
(D) CFC-11
(E) N₂O
Choose the correct answer from the options given below:

A
(A), (B), (C), (E), (D)
B
(A), (B), (E), (D), (C)
C
(B), (C), (A), (E), (D)
D
(A), (E), (B), (D), (C)

Question 39Single Answer

Which of the following are essential requirements for the formation of photochemical SMOG?
(A) Carbon monooxide (CO)
(B) Nitrogen dioxide (NO₂)
(C) Carbon dioxide (CO₂)
(D) Volatile Organic Compounds (VOCs)
(E) Sunlight
Choose the most appropriate answer from the options given below:

A
A, B and D only
B
A, C and E only
C
B, C, D and E only
D
B, D and E only

Question 40Single Answer

Which fallacy is committed in the following statement?
"People with cases of flu should be kept in quarantine, because it has never been disproven as the best means of keeping the disease from spreading."

A
Appeal to ignorance
B
Hasty generalisation
C
Slippery slope
D
False cause

Question 41Single Answer

Which of the following Indian universities were modelled on the lines of University of London?
(A) Calcutta
(B) Bombay
(C) Madras
(D) Andhra
(E) Mysore
Choose the correct answer from the options given below:

A
A, B & C only
B
B, C & D only
C
C, D & E only
D
A, B & D only

Question 42Single Answer

Identify the correct order of the term A-E to complete the following paragraph about computer devices and technology. An ________ allows a user to write on a surface using a pen, and the text and drawings can then be captured and stored for later use. An ________ printer produces a hard copy of a document using and piezoelectric technology. A printer uses a drum, and positive and negative charges, to produce a _____ hard copy of a document.
(A) inkjet
(B) interactive whiteboard
(C) laser
(D) rotating
(E) thermal bubble
Choose the correct answer from the options given below:

A
B, E, A, D, C
B
B, A, E, C, D
C
A, B, E, C, D
D
E, D, C, B, A

Question 43Single Answer

Given below are two statements:
Statement I: Internet is commonly used service on the World Wide Web
Statement II: HTTP is the protocol that web browsers and web servers use to communicate with each other over the Internet
In the light of the above statements, choose the correct answer from the options given below:

A
Both Statement I and Statement II are true
B
Both Statement I and Statement II are false
C
Statement I is true but Statement II is false
D
Statement I is false but Statement II is true

Question 44Single Answer

Negative communicators usually express
(A) Verbal softness
(B) Optimism
(C) Pessimism
(D) Resentment
(E) Distrust
Choose the correct answer from the options given below:

A
A, B & C only
B
B, C & D only
C
C, D & E only
D
A, B & E only

Question 45Single Answer

Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R
Assertion (A): Teachers must encourage students to ask questions.
Reason (R): Asking questions can create curiosity and develop passion for learning
In light of the above statements, choose the most appropriate answer from the options given below
Choose the correct answer from below:

A
Both (A) and (R) are correct, and (R) is the correct explanation of (A)
B
Both (A) and (R) are correct, but (R) is not the correct explanation of (A)
C
(A) is correct but (R) is not correct
D
(A) is not correct but (R) is correct

Question 46Single Answer

The advantages of research based on field experiments are:
A. A strong external validity
B. Subjects behave normally and naturally
C. The experiment takes place in a natural setting
D. Generation of primary data
E. Non-requirement of elaborate logistics
Choose the correct answer from the options given below:

A
A, B and C only
B
B, C and D only
C
C, D and E only
D
A, C and E only

Question 47Single Answer

Given below are two statements:
Statement I: Exploration is particularly useful when researchers lack a clear idea of the problems they will meet during the study
Statement II: Through exploration, researchers develop concepts more clearly, establish priorities, develop operational definitions, and improve the final research design
In light of the above statements, choose the correct answer from the options given below:

A
Both Statement I and Statement II are false
B
Both Statement I and Statement II are true
C
Statement I is false but Statement II is true
D
Statement I is true but Statement II is false

Question 48Single Answer

In order to transform the regulatory system of Higher Education, the NEP proposes to set up HECI (Higher Education Commission of India). Which of the following are verticals of HECI?
A. NHERC
B. NAS
C. HEGC
D. NCIVE
E. NAC
Choose the correct answer from the options given below:

A
A, B and C only
B
A, C and E only
C
B, C and E only
D
C, D and E only

Question 49Single Answer

Which of the given learner characteristics are associated with field dependent (holistic/visual) learning style?
(i) Focusing on facts and principles
(ii) Relating concepts to personal experience
(iii) Formal interaction with teacher related to tasks at hand
(iv) Preferring to compete rather than cooperate
(v) Preferring to cooperate rather than compete
(vi) Perceiving global aspects of concepts and materials
Choose the correct answer from the options given below:

A
(i), (ii) and (iii)
B
(ii), (iii) and (v)
C
(ii), (v) and (vi)
D
(iv), (v) and (vi)

Question 50Single Answer

Which of the following potential factors affecting teaching are related to instructional facilities and learning environment?
(i) Praise and encouragement by teachers
(ii) Non availability of textbooks/reading materials for use
(iii) Proactive moves in the interactive processes
(iv) Shortage of highly qualified teachers
(v) Availability of smart classes
Choose the correct answer from the following options:

A
(i), (ii) and (iii)
B
(ii), (iii) and (v)
C
(i), (iv) and (v)
D
(iii), (iv) and (v)

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Domain knowledge (Statistics)

Question 51Single Answer

Probability of union of two events A and B is?

A
P(A) − P(B)
B
P(A) × P(B)
C
P(A) + P(B) − P(A∩B)
D
P(A∩B)

Question 52Single Answer

Conditional probability P(A|B) is?

A
P(A)/P(B)
B
P(A∩B)/P(B)
C
P(B)/P(A)
D
P(A∪B)

Question 53Single Answer

If A and B are independent events then?

A
P(A∩B)=P(A)+P(B)
B
P(A∩B)=P(A)P(B)
C
P(A|B)=0
D
P(A)=P(B)

Question 54Single Answer

Bayes theorem is used to compute?

A
Prior probability
B
Marginal probability only
C
Joint probability only
D
Posterior probability

Question 55Single Answer

Law of total probability is based on?

A
Partition of sample space
B
Random variables
C
Expectation
D
Variance

Question 56Single Answer

A random variable is?

A
Probability measure
B
Set of outcomes
C
Event space
D
Function from sample space to real numbers

Question 57Single Answer

Distribution function F(x) is?

A
P(X < x)
B
P(X > x)
C
P(X = x)
D
P(X ≤ x)

Question 58Single Answer

Properties of CDF include?

A
Decreasing
B
Non-decreasing
C
Constant always
D
Negative values

Question 59Single Answer

Expectation of constant c is?

A
-c
B
0
C
1
D
c

Question 60Single Answer

E(X+Y) equals?

A
0
B
E(X)E(Y)
C
E(X−Y)
D
E(X)+E(Y)

Question 61Single Answer

Variance of constant is?

A
c
B
1
C
0
D
undefined

Question 62Single Answer

Variance of X is?

A
E(X²)/E(X)
B
E(X²)+E(X)
C
E(X)²
D
E(X²)−[E(X)]²

Question 63Single Answer

Moment generating function is?

A
P(X=t)
B
E(X^t)
C
e^{E(X)}
D
E(e^{tX})

Question 64Single Answer

MGF uniquely determines?

A
Distribution
B
Mean only
C
Variance only
D
Median

Question 65Single Answer

Chebyshev inequality gives bound on?

A
Mean only
B
Probability deviation from mean
C
Variance only
D
Mode

Question 66Single Answer

Chebyshev inequality holds for?

A
Exponential only
B
Normal only
C
Any distribution
D
Uniform only

Question 67Single Answer

Binomial distribution is?

A
None
B
Continuous
C
Mixed
D
Discrete

Question 68Single Answer

Poisson distribution parameter is?

A
σ
B
μ
C
λ
D
n

Question 69Single Answer

Normal distribution is?

A
None
B
Discrete
C
Categorical
D
Continuous

Question 70Single Answer

Normal distribution is symmetric about?

A
Median only
B
Mean
C
Mode only
D
Zero always

Question 71Single Answer

Exponential distribution is used for?

A
Finite trials
B
Counting outcomes
C
Waiting time
D
Ranking

Question 72Single Answer

Joint probability distribution deals with?

A
Two or more variables
B
One variable
C
Constants
D
Events only

Question 73Single Answer

Marginal distribution is obtained by?

A
Summation/integration
B
Differentiation
C
Multiplication
D
Division

Question 74Single Answer

Conditional distribution depends on?

A
Variance only
B
Mean only
C
Given condition
D
Median

Question 75Single Answer

Covariance measures?

A
Joint variability
B
Mean
C
Variance only
D
Probability

Question 76Single Answer

If Cov(X,Y)=0 then variables are?

A
Independent always
B
Uncorrelated
C
Equal
D
Identical

Question 77Single Answer

Correlation coefficient lies between?

A
-1 and +1
B
0 and 1
C
-∞ and ∞
D
1 and 2

Question 78Single Answer

Standard deviation is?

A
Square root of variance
B
Variance squared
C
Mean squared
D
None

Question 79Single Answer

Law of large numbers states?

A
Sample mean → population mean
B
Variance increases
C
Mean decreases
D
Distribution changes

Question 80Single Answer

Central Limit Theorem applies to?

A
Constant values
B
Dependent only
C
i.i.d. variables
D
Categorical data only

Question 81Single Answer

In CLT, limiting distribution is?

A
Poisson
B
Normal
C
Binomial
D
Uniform

Question 82Single Answer

Characteristic function is?

A
E(X)
B
E(e^{itX})
C
P(X=t)
D
Var(X)

Question 83Single Answer

Characteristic function uniquely determines?

A
Mode
B
Mean only
C
Distribution
D
Median

Question 84Single Answer

Mode of convergence includes?

A
Only variance
B
Only mean
C
Almost sure convergence
D
Only distribution

Question 85Single Answer

Weak law of large numbers uses?

A
Distribution only
B
Almost sure convergence
C
Convergence in probability
D
Variance only

Question 86Single Answer

Strong law of large numbers uses?

A
Almost sure convergence
B
Probability only
C
Mean only
D
Variance only

Question 87Single Answer

If X and Y independent then joint PDF is?

A
Product of marginals
B
Sum
C
Difference
D
Ratio

Question 88Single Answer

Expectation of sum of random variables is?

A
Product
B
Sum of expectations
C
Difference
D
Zero

Question 89Single Answer

Bernoulli distribution has outcomes?

A
Any real number
B
1 and 2
C
0 and 1
D
Continuous values

Question 90Single Answer

Variance of Bernoulli(p) is?

A
p
B
p²
C
1−p
D
p(1−p)

Question 91Single Answer

Uniform distribution is?

A
Discrete only
B
Skewed
C
Equal probability over interval
D
None

Question 92Single Answer

In Poisson distribution mean equals?

A
Median
B
Variance
C
Mode
D
Zero

Question 93Single Answer

If X ~ Normal(μ,σ²), standard form is?

A
Xσ
B
X/μ
C
(X−μ)/σ
D
μ/X

Question 94Single Answer

Sampling distribution is distribution of?

A
Constant
B
Population
C
Statistic
D
Event

Question 95Single Answer

Transformation of random variable uses?

A
Only variance
B
Only mean
C
Function of variable
D
Only probability

Question 96Single Answer

PDF is derivative of?

A
MGF
B
Mean
C
Variance
D
CDF

Question 97Single Answer

Total probability theorem applies when events are?

A
Independent
B
Mutually exclusive and exhaustive
C
Identical
D
Random only

Question 98Single Answer

Bayes theorem relates?

A
Mode and median
B
Mean and variance
C
Prior and posterior
D
PDF and MGF

Question 99Single Answer

Expectation operator is?

A
Linear
B
Non-linear
C
Constant
D
Random

Question 100Single Answer

If X constant then variance is?

A
1
B
0
C
undefined
D
infinite

Question 101Single Answer

Joint CDF is?

A
P(X+Y)
B
P(X>Y)
C
P(X=Y)
D
P(X≤x, Y≤y)

Question 102Single Answer

Independence implies?

A
Sum rule
B
Joint = product of marginals
C
Difference rule
D
None

Question 103Single Answer

Mean of Poisson distribution is?

A
n
B
σ
C
μ
D
λ

Question 104Single Answer

Median of symmetric distribution equals?

A
Mode only
B
Mean
C
Variance
D
Zero always

Question 105Single Answer

Law of iterated expectation is?

A
Var(X)=0
B
E(X)=0
C
E[E(X|Y)] = E(X)
D
None

Question 106Single Answer

If X and Y independent then Cov(X,Y)=?

A
0
B
1
C
-1
D
undefined

Question 107Single Answer

Variance of sum of independent variables is?

A
Sum of variances
B
Product
C
Difference
D
Zero

Question 108Single Answer

Standard normal distribution has mean?

A
μ
B
1
C
-1
D
0

Question 109Single Answer

Standard normal distribution has variance?

A
1
B
0
C
2
D
μ

Question 110Single Answer

Chebyshev inequality depends on?

A
Distribution type
B
Median only
C
Mode only
D
Mean and variance

Question 111Single Answer

If A and B are mutually exclusive then?

A
P(A|B)=1
B
P(A∩B)=1
C
P(A)=P(B)
D
P(A∩B)=0

Question 112Single Answer

Probability of impossible event is?

A
1
B
0
C
-1
D
undefined

Question 113Single Answer

Probability of sure event is?

A
1
B
0
C
0.5
D
-1

Question 114Single Answer

Complement rule states P(Aᶜ) is?

A
1−P(A)
B
P(A)
C
1+P(A)
D
P(A)/2

Question 115Single Answer

If X is random variable then E(X²) is called?

A
Second moment
B
First moment
C
Variance
D
Median

Question 116Single Answer

Central moment of order 2 is?

A
MGF
B
Mean
C
Variance
D
Skewness

Question 117Single Answer

Skewness measures?

A
Variance
B
Spread
C
Mean
D
Asymmetry

Question 118Single Answer

Kurtosis measures?

A
Peakedness
B
Mean
C
Variance
D
Correlation

Question 119Single Answer

If skewness is zero distribution is?

A
Uniform always
B
Skewed left
C
Skewed right
D
Symmetric

Question 120Single Answer

Bernoulli random variable takes value?

A
Only positive integers
B
Any real number
C
0 or 1
D
Continuous values

Question 121Single Answer

Binomial distribution depends on parameters?

A
n and p
B
λ and μ
C
μ and σ
D
α and β

Question 122Single Answer

Mean of Binomial(n,p) is?

A
n+p
B
n/p
C
p/n
D
np

Question 123Single Answer

Variance of Binomial(n,p) is?

A
n²p
B
np
C
p(1−p)
D
np(1−p)

Question 124Single Answer

Poisson distribution is limiting case of?

A
Exponential
B
Normal
C
Binomial
D
Uniform

Question 125Single Answer

Exponential distribution is memoryless means?

A
P(X>s+t|X>s)=P(X>t)
B
P(X)=0
C
P(X)=1
D
Independent events

Question 126Single Answer

Normal distribution is also called?

A
Gamma
B
Poisson
C
Binomial
D
Gaussian

Question 127Single Answer

Standardization converts variable into?

A
Poisson
B
Uniform
C
Exponential
D
Standard normal

Question 128Single Answer

Joint PDF integrates to?

A
Mean
B
0
C
Infinity
D
1

Question 129Single Answer

Marginal density is obtained by?

A
Addition
B
Differentiation
C
Multiplication
D
Integrating joint density

Question 130Single Answer

Conditional expectation is expectation of?

A
X only
B
X given Y
C
Y only
D
Constant

Question 131Single Answer

Covariance is zero implies?

A
Equal means
B
Independence always
C
Same variable
D
No linear relationship

Question 132Single Answer

Correlation coefficient formula includes?

A
Variance only
B
Mean only
C
Covariance/SDs
D
Probability only

Question 133Single Answer

If correlation is 1 then variables are?

A
Perfectly positively related
B
Independent
C
Unrelated
D
Constant

Question 134Single Answer

If correlation is -1 then variables are?

A
Equal
B
Independent
C
Perfectly negatively related
D
Random

Question 135Single Answer

Law of large numbers ensures convergence of?

A
Median
B
Variance
C
Mode
D
Sample mean

Question 136Single Answer

Weak law convergence is in?

A
Mean only
B
Almost sure sense
C
Distribution only
D
Probability

Question 137Single Answer

Strong law convergence is?

A
In probability
B
Almost sure
C
In variance
D
In mean

Question 138Single Answer

Central Limit Theorem requires?

A
No independence
B
Infinite variance
C
No mean
D
Finite variance

Question 139Single Answer

CLT approximation improves when n is?

A
Small
B
Large
C
Zero
D
Negative

Question 140Single Answer

Characteristic function exists for?

A
Only discrete
B
Only normal
C
All distributions
D
Only continuous

Question 141Single Answer

MGF may not exist for?

A
Normal only
B
All distributions
C
Some distributions
D
Poisson only

Question 142Single Answer

If MGF exists then it is?

A
Unique
B
Non-unique
C
Constant
D
Zero

Question 143Single Answer

Expectation of product of independent variables is?

A
Zero
B
Sum
C
Difference
D
Product of expectations

Question 144Single Answer

Variance is always?

A
Zero always
B
Negative
C
Non-negative
D
Undefined

Question 145Single Answer

Random variable transformation uses?

A
Median method
B
Mean method
C
Jacobian method
D
Mode method

Question 146Single Answer

If X is discrete then CDF is?

A
Step function
B
Continuous curve
C
Linear
D
Exponential

Question 147Single Answer

If X is continuous then P(X=x) is?

A
undefined
B
1
C
0.5
D
0

Question 148Single Answer

Total probability rule uses?

A
Partition events
B
Independent events
C
Mean values
D
Variance

Question 149Single Answer

Bayes theorem denominator is?

A
Prior only
B
Total probability
C
Posterior only
D
Variance

Question 150Single Answer

Expectation of indicator variable is?

A
Probability of event
B
0 always
C
1 always
D
variance

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