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

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Question 1

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 1 Explanation:

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

Question 2

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 3

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

A

Classical Probability

B

Subjective Probability

C

Relative Frequency

D

Independent

Question 3 Explanation:

In Classical probability the outcomes are equally likely to occur.

Question 4

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 4 Explanation:

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

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

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 6 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 7

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 7 Explanation:

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

Question 8

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

A

Independent

B

Mutually exclusive

C

Bayesian

D

Empirical

Question 8 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 9

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

A

Independent events

B

Mutually Exclusive events

C

Bayesian

D

Empirical

Question 9 Explanation:

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

Question 10

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 10 Explanation:

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

Question 11

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 11 Explanation:

The mean and variance in Poisson distribution is always same.

Question 12

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 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

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Question 1

In hypergeometric distribution, the trials are

A

Independent

B

Dependent

C

Collectively Exhaustive

D

None

Question 2

The successive trials are with replacement in

A

Hypergeometric distribution

B

Binomial distribution

C

Geometric distribution

D

None of above

Question 3

Binomial distribution is symmetrical when

A

p = q

B

p > q

C

p < q

D

np > npq

Question 4

Hypergeometric distribution has parameters

A

2

B

1

C

3

D

4

E

No

Question 5

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 6

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 7

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 8

Binomial distribution has parameters

A

Three

B

Two

C

One

D

Four

E

None

Question 9

Each trial in Binomial distribution has

A

One Outcome

B

Two Outcome

C

Three Outcome

D

Four Outcome

Question 10

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 11

In which distribution successive trials are without replacement

A

Hypergeometric distribution

B

Binomial distribution

C

Poisson distribution

D

Geometric distribution

Question 12

The mean of binomial distribution is

A

npq

B

np

C

$\sqrt{npq}$

D

$\sqrt{np}$

E

$\sqrt{nq}$

Question 13

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 13 Explanation:

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

Question 14

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 15

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 16

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 16 Explanation:

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

Question 17

Successive trials in binomial distribution are

A

Dependent

B

Independent

C

Equally Likely

D

Mutually exclusive

E

None

Question 18

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

A

q

B

p

C

0

D

1

Question 19

The probability of success changes from trial to trial in

A

Binomial distribution

B

Geometric distribution

C

Sampling distribution

D

Hypergeometric distribution

Question 20

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 20 Explanation:

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

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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

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Question 1

Probability of occurrence of an event lies between

A

-1 and 0

B

0 and 1

C

-1 and 1

D

exactly 1

Question 2

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 3

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 4

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

A

Zero

B

C

C

1

D

2

E

None

Question 5

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

A

0

B

-1

C

1

Question 6

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

A

1

B

2

C

0

D

Constant

Question 7

Total Area under the curve in probability of density function is

A

0

B

-1

C

1

D

Infinity

Question 8

The probability function is always

A

Negative

B

Non Negative

C

Positive

D

None

Question 9

For a random variable X, E(X) is

A

Harmonic Mean (HM)

B

Geometric Mean (GM)

C

Arithmetic Mean (AM)

D

Non

Question 10

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 11

A discrete probability distribution may be represented by

A

A table

B

A graph

C

A mathematical Equation

D

All of these

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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.
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Question 1

We use normal distribution when "n" is

A

Large

B

Small

C

Fixed

D

None

Question 2

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

A

Standard Deviation

B

Mean Deviation

C

Variance

D

Quantile Deviation

Question 3

In case of symmetrical distribution

A

Mean=Mode=Median

B

$\mu_1 = \mu_2$

C

$\mu_3=\mu_4$

D

$\beta_1 =\beta_4$

Question 4

Mean deviation of Normal Distribution is

A

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

B

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

C

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

D

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

Question 5

Normal Distribution

A

Multi Modal

B

Bi Modal

C

Have no Mode

D

Uni Modal

E

Tri Modal

Question 6

Total Area under the normal curve is

A

1

B

Greater than 1

C

Less than 1

D

0

E

None

Question 7

Area under the normal curve on either side of mean is

A

Mean value

B

1

C

0.5

D

2

E

-1

Question 8

The shape of normal curve depends upon

A

Mean

B

Quartile Deviation

C

Mean Deviation

D

Standard Deviation

E

None

Question 9

Normal Distribution is

A

Leptokurtic

B

Mesokurtic

C

PLatykurtic

D

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 Normal Curve is asymptotic to the

A

X-axis

B

Along Y=X

C

Y-axis

D

None

Question 12

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

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

D

-0.7979 and 0.7979

Question 13

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

A

104

B

55

C

7

D

49

Question 14

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

A

16

B

4

C

7

D

49

Question 15

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

A

$\mu,\sigma$

B

None

C

$\mu, MD$

D

$\sqrt{2\pi},e$

Question 16

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

A

135

B

60

C

70

D

50

Question 17

Shape of normal curve can be related to

A

Rectangle

B

Bell

C

J

D

Circle

E

L

Question 18

The Normal Distribution has parameters

A

2

B

1

C

3

D

4

Question 19

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

A

1

B

$\mu$

C

0.5

D

0

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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.

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Student and Instructor of Statistics and business mathematics.
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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.

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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

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pl send on

email.ramzsom@yahoo.com

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