This section contains Multiple Choice Questions about Measure of Probability, Probability Rules, Conditional Probability, Bays Theorem, Probability Distributions, Discrete and Continuous Probability Distributions etc

Start

Congratulations - you have completed Probability and Probability Distribution I.
You scored %%SCORE%% out of %%TOTAL%%.
Your performance has been rated as %%RATING%%

Your answers are highlighted below.

Question 1

In a Poisson probability distribution

A

The mean and variance of the distribution are same (equal)

B

The probability of success is always greater than 5

C

The number of trials is always less than 5

D

It always contains a contingency table

Question 1 Explanation:

The mean and variance in Poisson distribution is always same.

Question 2

If a card is chosen from a standard deck of cards, what is the probability of getting a diamond (♦) or a club(♣)?

A

26/52=1/2

B

13/52

C

20/52

D

12/52

Question 2 Explanation:

There are 13 cards of club and 13 card of diamond. Addition rule is used here

Question 3

Which of the following is not an example of a discrete probability distribution?

A

The sale or purchase price of a house

B

The number of bedrooms in a house

C

The number of bathrooms in a house

D

Whether or not a home has a swimming pool in it.

Question 4

A listing of the possibile outcomes of an experiment and their corresponding probability is called

A

Random Variable

B

Contingency table

C

Bayesian table

D

Probability distribution

E

Frequency distribution

Question 4 Explanation:

Probability distribution is listing of the all possible outcomes from an experiment with their associated probability for each outcome.

Question 5

Which of the following is not a condition of the binomial distribution?

A

Only 2 possible outcomes

B

have constant probability of success

C

must have at least 3 trials

D

trials must be independent

Question 6

The collection of one or more outcomes from an experiment is called

A

Probability

B

Event

C

Random Variable

D

Z-Value

E

Random Experiment

Question 6 Explanation:

An event is collection of one or more outcomes from an experiment.

Question 7

If you roll a pair of dice, what is the probability that (at least) one of the dice is a 4 or the sum of the dice is 7?

A

4/36

B

13/36

C

21/36

D

15/36

Question 7 Explanation:

These are the possibilities of the required event to occur.
{(4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (1,4), (2,4), (5,4), (6,4), (1,6), (2,5), (3, 4), (5,2), (6,1)}

Question 8

If the occurrence of one event means that another cannot happen, then the events are

A

Independent

B

Mutually Exclusive

C

Bayesian

D

Empirical

Question 8 Explanation:

Two events are mutually exclusive if they (both of them) cannot occur together.

Question 9

If a card is chosen from a standard deck of cards, what is the probability of getting a five or a seven?

A

4/52

B

1/26

C

8/52

D

1/169

Question 10

In which approach to probability the outcomes are equally likely to occur?

A

Classical Probability

B

Subjective Probability

C

Relative Frequency

D

Independent

Question 10 Explanation:

In Classical probability the outcomes are equally likely to occur.

Question 11

The the special rule of multiplication of probability, the events must be

A

Independent

B

Mutually exclusive

C

Bayesian

D

Empirical

Question 11 Explanation:

If two events are independent, i.e. are not related, the special rule of multiplication is used to fined the probability of their joint occurrence. P(A and B)=P(A) x P(B)

Question 12

In special rule of addition of probability, the events are always

A

Independent events

B

Mutually Exclusive events

C

Bayesian

D

Empirical

Question 12 Explanation:

In special rule of addition of probability the events must be mutually exclusive.

Question 13

Which of the following is not a correct statement about a probability.

A

It must have a value between 0 and 1

B

It can be reported as a decimal or a fraction

C

A value near 0 means that the event is not likely to occur/happens

D

It is the collection of several experiments.

Question 13 Explanation:

Probability is measure of uncertainty its not collection of several experiments.

Question 14

The joint probability is

A

The likelihood of two events happening together

B

The likelihood of an event happening given that another event has already happened

C

Based on two mutually exclusive events

D

Also called Prior probability

Question 14 Explanation:

Joint probability is the joint occurrence of one or more events

Once you are finished, click the button below. Any items you have not completed will be marked incorrect.
Get Results

There are 14 questions to complete.

You have completed

questions

question

Your score is

Correct

Wrong

Partial-Credit

You have not finished your quiz. If you leave this page, your progress will be lost.

Congratulations - you have completed MCQs on Discrete Probability Distributions II.
You scored %%SCORE%% out of %%TOTAL%%.
Your performance has been rated as %%RATING%%

Your answers are highlighted below.

Question 1

Each trial in Binomial distribution has

A

One Outcome

B

Two Outcome

C

Three Outcome

D

Four Outcome

Question 2

The mean of binomial distribution is

A

npq

B

np

C

$\sqrt{npq}$

D

$\sqrt{np}$

E

$\sqrt{nq}$

Question 3

In hypergeometric distribution, the trials are

A

Independent

B

Dependent

C

Collectively Exhaustive

D

None

Question 4

If in a binomial distribution n = 1 then E(X) is

A

q

B

p

C

0

D

1

Question 5

In binomial distribution n=6 and p=0.9, then the value of P(X=7) is

A

One

B

Less than zero

C

Zero

D

More than zero

Question 6

Hypergeometric distribution has parameters

A

2

B

1

C

3

D

4

E

No

Question 7

In a binomial probability distribution it is impossible to find

A

P(X < 0)

B

P(X = 0)

C

P(X > 0)

D

P(0 ≤ X ≤ n)

Question 8

A random variable X has binomial distribution with n = 10 and p = 0.3 then variance of X is

A

10

B

12

C

2.1

D

21

E

None

Question 9

In which distribution successive trials are without replacement

A

Hypergeometric distribution

B

Binomial distribution

C

Poisson distribution

D

Geometric distribution

Question 10

The probability of success changes from trial to trial in

A

Binomial distribution

B

Geometric distribution

C

Sampling distribution

D

Hypergeometric distribution

Question 11

A fair coin is tossed four times, the probability of getting four heads is

A

1/4

B

1/2

C

1/16

D

1

E

0

Question 11 Explanation:

here n=4, x=4, p=q=0.5

Question 12

Binomial distribution is symmetrical when

A

p = q

B

p > q

C

p < q

D

np > npq

Question 13

The mean of hypergeometric distribution is

A

$\frac{nk}{N}$

B

$\frac{N-k}{n}$

C

$\frac{nN}{k}$

D

$\frac{n+k}{N}$

Question 14

The mean, median and mode for binomial distribution will be equal when

A

p =0.5

B

p< 0.5

C

p> 0.5

D

p= 1

E

None of these

Question 15

Binomial distribution is negatively skewed when

A

p=0

B

p>1/2

C

p<1/2

D

p=-1/2

E

p=1/3

Question 15 Explanation:

If p<0.5, then the distribution is positively skewed; if p>0.5, the distribution is negatively skewed.

Question 16

The successive trials are with replacement in

A

Hypergeometric distribution

B

Binomial distribution

C

Geometric distribution

D

None of above

Question 17

Which of the following is not the property of binomial distribution

A

n is fixed

B

has two outcomes

C

Trials are independent

D

Probability of success varies from trial to trial

Question 18

Binomial distribution has parameters

A

Three

B

Two

C

One

D

Four

E

None

Question 19

The variance of binomial distribution is always

A

Less than mean

B

Equal to mean

C

Greater than mean

D

Equal to standard deviation

E

None of these

Question 19 Explanation:

In other words mean of binomial distribution is always greater than variance.

Question 20

Successive trials in binomial distribution are

A

Dependent

B

Independent

C

Equally Likely

D

Mutually exclusive

E

None

Once you are finished, click the button below. Any items you have not completed will be marked incorrect.
Get Results

There are 20 questions to complete.

You have completed

questions

question

Your score is

Correct

Wrong

Partial-Credit

You have not finished your quiz. If you leave this page, your progress will be lost.

Correct Answer

You Selected

Not Attempted

Final Score on Quiz

Attempted Questions Correct

Attempted Questions Wrong

Questions Not Attempted

Total Questions on Quiz

Question Details

Results

Date

Score

Hint

Time allowed

minutes

seconds

Time used

Answer Choice(s) Selected

Question Text

All done

Need more practice!

Keep trying!

Not bad!

Good work!

Perfect!

Test 3

MCQs on Discrete Probability Distribution and Distribution Function III

This test contains more MCQs about probability and probability distribution. All of the MCQs are from Discrete Probability Distribution and Distribution Function

Start

Congratulations - you have completed MCQs on Discrete Probability Distribution and Distribution Function III.
You scored %%SCORE%% out of %%TOTAL%%.
Your performance has been rated as %%RATING%%

Your answers are highlighted below.

Question 1

For a random variable X, E(X) is

A

Harmonic Mean (HM)

B

Geometric Mean (GM)

C

Arithmetic Mean (AM)

D

Non

Question 2

The distribution function F(X) is represented by

A

P(X=x)

B

P(X

C

P(X>x)

D

$P(X\le x)$

Question 3

Probability of occurrence of an event lies between

A

-1 and 0

B

0 and 1

C

-1 and 1

D

exactly 1

Question 4

Total Area under the curve in probability of density function is

A

0

B

-1

C

1

D

Infinity

Question 5

Probability distribution of a random variable is also known as

A

Probability

B

Probability Function

C

Distribution Function

D

Probability Distribution

E

Probability Density Function

Question 6

The probability function is always

A

Negative

B

Non Negative

C

Positive

D

None

Question 7

For a probability density function (pdf), the probability of a single point is

A

1

B

2

C

0

D

Constant

Question 8

What is the probability that a ball drawn at random from a jar?

A

0.1

B

1

C

0.5

D

0

E

Cannot be determined from given information

Question 9

For distribution Function F(X), $F(-\infty)=0$ and $F(\infty)=$?

A

0

B

-1

C

1

Question 10

A discrete probability distribution may be represented by

A

A table

B

A graph

C

A mathematical Equation

D

All of these

Question 11

If C is non-random variable, the E(C) is

A

Zero

B

C

C

1

D

2

E

None

Once you are finished, click the button below. Any items you have not completed will be marked incorrect.
Get Results

There are 11 questions to complete.

You have completed

questions

question

Your score is

Correct

Wrong

Partial-Credit

You have not finished your quiz. If you leave this page, your progress will be lost.

Correct Answer

You Selected

Not Attempted

Final Score on Quiz

Attempted Questions Correct

Attempted Questions Wrong

Questions Not Attempted

Total Questions on Quiz

Question Details

Results

Date

Score

Hint

Time allowed

minutes

seconds

Time used

Answer Choice(s) Selected

Question Text

All done

Need more practice!

Keep trying!

Not bad!

Good work!

Perfect!

Test 4

MCQs on Normal Probability Distribution IV

This Multiple Choice Questions test is based on Normal Probability Distribution, which includes its mean, median, mode, Variance, Standard Normal Distribution etc. All this will help you to understand the properties and characteristics of Normal Distribution and It will also help to to pass examination of school, college or and competitive exams.
Keep visiting: itfeature.com

Start

Congratulations - you have completed MCQs on Normal Probability Distribution IV.
You scored %%SCORE%% out of %%TOTAL%%.
Your performance has been rated as %%RATING%%
Keep visiting: http://itfeature.com

Your answers are highlighted below.

Question 1

The shape of normal curve depends upon

A

Standard Deviation

B

None

C

Mean Deviation

D

Quartile Deviation

E

Mean

Question 2

In case of symmetrical distribution

A

$\mu_1 = \mu_2$

B

Mean=Mode=Median

C

$\mu_3=\mu_4$

D

$\beta_1 =\beta_4$

Question 3

If Y=5X + 10 and X is N(10,25), then mean of Y is

A

70

B

135

C

50

D

60

Question 4

Shape of normal curve can be related to

A

L

B

Rectangle

C

Bell

D

Circle

E

J

Question 5

The lower and upper quartiles of standard normal variate are respectively

A

$-0.7979\sigma$ and $0.7979 \sigma$

B

-0.6745 and 0.6745

C

-0.7979 and 0.7979

D

$\mu+0.6745\sigma$ and $\mu-0.6745\sigma$

Question 6

Total Area under the normal curve is

A

Greater than 1

B

Less than 1

C

1

D

0

E

None

Question 7

In a normal distribution $E(X-\mu)^2$ is

A

Quantile Deviation

B

Standard Deviation

C

Variance

D

Mean Deviation

Question 8

In Normal distribution, the parameters which controls the flatness of the curve is

A

$\mu, MD$

B

$\mu,\sigma$

C

$\sqrt{2\pi},e$

D

None

Question 9

If X~N(16, 49), then mean is

A

4

B

7

C

16

D

49

Question 10

Normal Distribution

A

Have no Mode

B

Multi Modal

C

Tri Modal

D

Uni Modal

E

Bi Modal

Question 11

The median of normal distribution corresponds to the value of Z equal to

A

1

B

$\mu$

C

0.5

D

0

Question 12

We use normal distribution when "n" is

A

Small

B

None

C

Fixed

D

Large

Question 13

Area under the normal curve on either side of mean is

A

Mean value

B

0.5

C

-1

D

2

E

1

Question 14

If $X~N(55,49)$ then $\sigma$

A

7

B

55

C

49

D

104

Question 15

The Normal Curve is asymptotic to the

A

Along Y=X

B

X-axis

C

None

D

Y-axis

Question 16

The Normal Distribution has parameters

A

3

B

2

C

4

D

1

Question 17

Normal Distribution is

A

None

B

PLatykurtic

C

Leptokurtic

D

Mesokurtic

Question 18

Mean deviation of Normal Distribution is

A

$\frac{2}{3}\sigma$

B

$\frac{4}{5}\sigma$

C

$\frac{3}{4}\sigma$

D

$\frac{7}{8}\sigma$

Question 19

Which of the following parameter control the relative flatness of normal distribution

A

None

B

Standard Deviation

C

Mean

D

Mode

Once you are finished, click the button below. Any items you have not completed will be marked incorrect.
Get Results

There are 19 questions to complete.

You have completed

questions

question

Your score is

Correct

Wrong

Partial-Credit

You have not finished your quiz. If you leave this page, your progress will be lost.

Correct Answer

You Selected

Not Attempted

Final Score on Quiz

Attempted Questions Correct

Attempted Questions Wrong

Questions Not Attempted

Total Questions on Quiz

Question Details

Results

Date

Score

Hint

Time allowed

minutes

seconds

Time used

Answer Choice(s) Selected

Question Text

All done

Need more practice!

Keep trying!

Not bad!

Good work!

Perfect!

Test 5

MCQS on Variable and Random Variable

This section contains MCQS on variable and Random variable. This includes some definitions, examples and type of random variable. Please keep visiting and sharing for promoting the site http://itfeature.com.

Start

Congratulations - you have completed MCQS on Variable and Random Variable.
You scored %%SCORE%% out of %%TOTAL%%.
Your performance has been rated as %%RATING

Student and Instructor of Statistics and business mathematics.
Currently Ph.D. Scholar (Statistics), Bahauddin Zakariya University Multan.
Like Applied Statistics and Mathematics and Statistical Computing.
Statistical and Mathematical software used are: SAS, STATA, GRETL, EVIEWS, R, SPSS, VBA in MS-Excel.
Like to use type-setting LaTeX for composing Articles, thesis etc.

To have answer of each MCQs, click the start button to start with MCQ test. Click the option which you consider most appropriate to questions. If your choice is correct you will see the right sign on option otherwise a cross.
Thanks for visiting the site.

correction is made. Please whenever anyone found error do contact with test number and initial statement, so that I can easily search and correct the problem.

Chi-square test is a non-parametric test. The assumption of normal distribution in the population is not required for this test. The statistical technique chi-square can be used to find the association (dependencies) between sets of two or more categorical variables by comparing how close the observed frequencies are to the expected frequencies. In other words, […]

Mean: Measure of Central Tendency The measure of Central Tendency Mean (also know as average or arithmetic mean) is used to describe the data set as a single number (value) which represents the middle (center) of the data, that is average measure (performance, behaviour, etc) of data. This measure of central tendency is also known […]

Probability sampling In probability each unit of the population has known (non-zero) probability of being included in the sample and samples are selected randomly by using some random selection method. That’s why, probability sampling may also be called random sampling. In probability sampling reliability of the estimates can be determined. In probability sampling, samples are […]

It is often required to collect information from the data. There two methods for collecting the required information. Complete information Sampling Complete Information In this method the required information are collected from each and every individual of the population. This method is used when it is difficult to draw some conclusion (inference) about the population […]

Research is inquiry. It is a process of discovering some new knowledge, that involves multiple elements such as theory development and testing, empirical inquiry, and sharing the generated knowledge with others such as experts and colleagues. A short description about elements of theory is: Theory is a set of ideas and perceptions that helps people […]

Question 1: How can I retrieve (load) the work that is saved using history function in R? Answer: The loadhistory() function will load an “.Rhistory“file. > loadhistory(“d:/file_name.Rhistory”) This function will load file named “file_name.Rhistory” from D: drive. The other way may be to access .Rhistory file through the file menu. For this click File and … Continue reading “R Basics”

Question: How one can get help about different command in R Language? Answer: There are many ways to get help about different command (functions). R has built-in help facility which is similar to man facility in Unix. For beginners of R language, help() function or ? can be used to get help about different commands … Continue reading “R FAQs: Getting Help in R”

Question: Can I save my work in R Language? Answer: R language facilitates to save ones R work. Question: How to save work done in R? Answer: All of the objects and functions that are created (you R workspace) can be saved in a file .RData by using the save() function or the save.image() function. … Continue reading “R FAQs: Saving and Loading R workspace”

Question: What are the differences of missing values in R and other Statistical Packages? Answer: Missing values (NA) cannot be used in comparisons, as already discussed in previous post on missing values in R. In other statistical packages (softwares) a “missing value” is assigned some code either very high or very low in magnitude such … Continue reading “R FAQs: Handling Missing values in R”

Question: What is matrix in R? Answer: In R language matrices are two dimensional arrays of elements all of which are of the same type, for example numbers, character strings or logical values. Matrices may be constructed using the built in function “matrix”, which reshapes its first argument into a matrix having specified number of … Continue reading “R FAQS about Matrix | Data Structure for Matrix in R”

Question: Can missing values be handled on R? Answer: Yes, in R language one can handle missing values. The way of dealing with missing values is different as compared to other statistical softwares such as SPSS, SAS, STATA, EVIEWS etc. Question: What is the representation of missing values in R Language? Answer: In R missing … Continue reading “R FAQ missing values”

nice practice assignments

how can i find answer of that?

To have answer of each MCQs, click the start button to start with MCQ test. Click the option which you consider most appropriate to questions. If your choice is correct you will see the right sign on option otherwise a cross.

Thanks for visiting the site.

Great work by Admin

sir q#7 ka ans galat hai….sawal mai to deck of cards hai or ans mai pair of dice….check it plz

correction is made. Please whenever anyone found error do contact with test number and initial statement, so that I can easily search and correct the problem.

sir q#19 mai b problem hai…. check it out too…..agar symetric ka concern p se hai to explanation mai n q dia hua hai ?? plz clear it

can you send the statement of question, it will be easy for me to find. In test all questions and even there answers are randomly displayed.

Please solve the questions practically for us to follow

which questions you need to be solved.

Good work…👍

nice practice . thanks a lot

Great MCQS of Statistic for NTS Test, PPSC