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

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 1 Explanation:

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

Question 2

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 2 Explanation:

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

Question 3

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 3 Explanation:

Joint probability is the joint occurrence of one or more events

Question 4

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 4 Explanation:

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

Question 5

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 6

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

A

Independent events

B

Mutually Exclusive events

C

Bayesian

D

Empirical

Question 6 Explanation:

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

Question 7

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 8

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

A

Classical Probability

B

Subjective Probability

C

Relative Frequency

D

Independent

Question 8 Explanation:

In Classical probability the outcomes are equally likely to occur.

Question 9

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 10

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 10 Explanation:

The mean and variance in Poisson distribution is always same.

Question 11

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 11 Explanation:

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

Question 12

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 12 Explanation:

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

Question 13

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

A

Independent

B

Mutually exclusive

C

Bayesian

D

Empirical

Question 13 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 14

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 14 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)}

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

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 2

In hypergeometric distribution, the trials are

A

Independent

B

Dependent

C

Collectively Exhaustive

D

None

Question 3

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 4

The successive trials are with replacement in

A

Hypergeometric distribution

B

Binomial distribution

C

Geometric distribution

D

None of above

Question 5

The mean of binomial distribution is

A

npq

B

np

C

$\sqrt{npq}$

D

$\sqrt{np}$

E

$\sqrt{nq}$

Question 6

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 7

Binomial distribution is symmetrical when

A

p = q

B

p > q

C

p < q

D

np > npq

Question 8

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 9

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

A

q

B

p

C

0

D

1

Question 10

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 11

The probability of success changes from trial to trial in

A

Binomial distribution

B

Geometric distribution

C

Sampling distribution

D

Hypergeometric distribution

Question 12

Hypergeometric distribution has parameters

A

2

B

1

C

3

D

4

E

No

Question 13

Binomial distribution has parameters

A

Three

B

Two

C

One

D

Four

E

None

Question 14

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 15

Each trial in Binomial distribution has

A

One Outcome

B

Two Outcome

C

Three Outcome

D

Four Outcome

Question 16

In which distribution successive trials are without replacement

A

Hypergeometric distribution

B

Binomial distribution

C

Poisson distribution

D

Geometric distribution

Question 17

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 17 Explanation:

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

Question 18

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 18 Explanation:

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

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

A

1

B

2

C

0

D

Constant

Question 2

The probability function is always

A

Negative

B

Non Negative

C

Positive

D

None

Question 3

Total Area under the curve in probability of density function is

A

0

B

-1

C

1

D

Infinity

Question 4

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 5

A discrete probability distribution may be represented by

A

A table

B

A graph

C

A mathematical Equation

D

All of these

Question 6

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

A

0

B

-1

C

1

Question 7

Probability of occurrence of an event lies between

A

-1 and 0

B

0 and 1

C

-1 and 1

D

exactly 1

Question 8

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

A

Zero

B

C

C

1

D

2

E

None

Question 9

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 10

For a random variable X, E(X) is

A

Harmonic Mean (HM)

B

Geometric Mean (GM)

C

Arithmetic Mean (AM)

D

Non

Question 11

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

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 Normal Distribution has parameters

A

2

B

3

C

1

D

4

Question 2

Normal Distribution

A

Uni Modal

B

Bi Modal

C

Tri Modal

D

Multi Modal

E

Have no Mode

Question 3

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

A

0.5

B

$\mu$

C

1

D

0

Question 4

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

A

104

B

55

C

49

D

7

Question 5

Shape of normal curve can be related to

A

Circle

B

Bell

C

J

D

L

E

Rectangle

Question 6

We use normal distribution when "n" is

A

Small

B

Large

C

None

D

Fixed

Question 7

Normal Distribution is

A

None

B

PLatykurtic

C

Mesokurtic

D

Leptokurtic

Question 8

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

A

Standard Deviation

B

Variance

C

Mean Deviation

D

Quantile Deviation

Question 9

The shape of normal curve depends upon

A

Mean

B

Mean Deviation

C

Standard Deviation

D

Quartile Deviation

E

None

Question 10

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

A

Mean

B

Mode

C

Standard Deviation

D

None

Question 11

The lower and upper quartiles of standard normal variate are respectively

A

-0.7979 and 0.7979

B

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

C

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

D

-0.6745 and 0.6745

Question 12

The Normal Curve is asymptotic to the

A

None

B

X-axis

C

Y-axis

D

Along Y=X

Question 13

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

A

135

B

60

C

70

D

50

Question 14

In case of symmetrical distribution

A

$\mu_1 = \mu_2$

B

$\mu_3=\mu_4$

C

Mean=Mode=Median

D

$\beta_1 =\beta_4$

Question 15

Area under the normal curve on either side of mean is

A

1

B

Mean value

C

-1

D

0.5

E

2

Question 16

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

A

$\mu,\sigma$

B

$\mu, MD$

C

None

D

$\sqrt{2\pi},e$

Question 17

Mean deviation of Normal Distribution is

A

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

B

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

C

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

D

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

Question 18

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

A

16

B

7

C

49

D

4

Question 19

Total Area under the normal curve is

A

1

B

Greater than 1

C

0

D

Less than 1

E

None

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.

A bivariate relationship is defined by the joint distribution of the two associated random variables. Contingency Tables Let and are two categorical response variables. Let variable have levels and variable have levels. The possible combinations of classifications for both variables are . The response of a subject randomly chosen from some population has a probability […]

Matrices are everywhere. If you have used a spreadsheet program such as MS-Excel, Lotus or written a table (such as in Ms-Word) or even have used mathematical or statistical software such a Mathematica, Matlab, Minitab, SAS, SPSS and Eviews etc., you have used a matrix. Matrices make the presentation of numbers clearer and make calculations […]

In early civilizations, the number of animals (sheep, goat, and camel etc.) or children people have were tracked by using different methods such as people match the number of animals with the number of stones. Similarly, they count the number of children with the number of notches tied on a string or marks on a […]

The Z-Score The Z-score also referred to as standardized raw scores is a useful statistic because not only permits to compute the probability (chances or likelihood) of raw score (occurring within normal distribution) but also it helps to compare two raw scores from different normal distributions. The Z-score is a dimensionless measure since it is […]

Multicollinearity in Linear Regression Models The objective of multiple regression analysis is to approximate the relationship of individual parameters of a dependency, but not of interdependency. It is assumed that the dependent variable and regressors ‘s are linearly related to each other (Graybill, 1980; Johnston, 1963 and Malinvaud, 1968). Therefore, inferences depicted from any regression […]

In R Language, a vector is the simplest data structure. A vector in R is also an object that contains elements having the same data type. To create a vector (say ‘x’) of the same type (say double) of elements consisting of five elements one can use c() function. For example, Creating a vector in […]

Reading and Writing Data in R Reading Data in R For reading (importing) data into R following are some functions. read.table(), and read.csv(), for reading tabular data readLines() for reading lines of a text file source() for reading in R code files (inverse of dump) dget() for reading in R code files (inverse of dput) […]

In R language, list is an object that consists of an ordered collection of objects known as its components. A list in R Language is a structured data that can have any number of any modes (types) of other structured data. That is, one can put any kind of object (like vector, data frame, character […]

The R program’s structure is similar to the programs written in other computer languages such as C or its successors C++ and Java. However, important differences between these languages and R are (i) R has no header files, (ii) most of the declarations are implicit, (iii) there are no pointers in R, and (iv) text […]

The problem of multicollinearity plagues the numerical stability of regression estimates. It also causes some serious problem in validation and interpretation of the regression model. Consider the usual multiple linear regression model, , where is an vector of observation on dependent variable, is known design matrix of order , having full-column rank , is vector of […]

R language provides an interlocking suite of facilities that make fitting statistical models very simple. The output from statistical models in R language is minimal and one needs to ask for the details by calling extractor functions. Defining Statistical Models; Formulae in R Language The template for a statistical model is a linear regression model […]

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.

I will solve… Mention ur questions…

Good work…

nice practice . thanks a lot

Great MCQS of Statistic for NTS Test, PPSC

very nice

Excellent input provided to strengthen the concepts. Thanks a lot

nice work. pl give a book of mcqs. Prof ramzan from khi

pl send on

email.ramzsom@yahoo.com

good effort

Informative material good keep it up at vast forum

So interesting

very nice work,