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

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 2

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 2 Explanation:

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

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

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 4 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 5

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 5 Explanation:

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

Question 6

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 6 Explanation:

Joint probability is the joint occurrence of one or more events

Question 7

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

A

Independent events

B

Mutually Exclusive events

C

Bayesian

D

Empirical

Question 7 Explanation:

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

Question 8

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 8 Explanation:

The mean and variance in Poisson distribution is always same.

Question 9

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 9 Explanation:

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

Question 10

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 10 Explanation:

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

Question 11

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

A

Classical Probability

B

Subjective Probability

C

Relative Frequency

D

Independent

Question 11 Explanation:

In Classical probability the outcomes are equally likely to occur.

Question 12

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 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

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 14 Explanation:

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

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Question 1

In which distribution successive trials are without replacement

A

Hypergeometric distribution

B

Binomial distribution

C

Poisson distribution

D

Geometric distribution

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 has parameters

A

Three

B

Two

C

One

D

Four

E

None

Question 4

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 5

Successive trials in binomial distribution are

A

Dependent

B

Independent

C

Equally Likely

D

Mutually exclusive

E

None

Question 6

In hypergeometric distribution, the trials are

A

Independent

B

Dependent

C

Collectively Exhaustive

D

None

Question 7

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 8

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

A

q

B

p

C

0

D

1

Question 9

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 10

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 10 Explanation:

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

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

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 13

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 14

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 14 Explanation:

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

Question 15

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 16

Each trial in Binomial distribution has

A

One Outcome

B

Two Outcome

C

Three Outcome

D

Four Outcome

Question 17

Hypergeometric distribution has parameters

A

2

B

1

C

3

D

4

E

No

Question 18

Binomial distribution is symmetrical when

A

p = q

B

p > q

C

p < q

D

np > npq

Question 19

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 19 Explanation:

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

Question 20

The mean of binomial distribution is

A

npq

B

np

C

$\sqrt{npq}$

D

$\sqrt{np}$

E

$\sqrt{nq}$

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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

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

A

1

B

2

C

0

D

Constant

Question 2

Probability of occurrence of an event lies between

A

-1 and 0

B

0 and 1

C

-1 and 1

D

exactly 1

Question 3

The probability function is always

A

Negative

B

Non Negative

C

Positive

D

None

Question 4

For a random variable X, E(X) is

A

Harmonic Mean (HM)

B

Geometric Mean (GM)

C

Arithmetic Mean (AM)

D

Non

Question 5

Total Area under the curve in probability of density function is

A

0

B

-1

C

1

D

Infinity

Question 6

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

A

Zero

B

C

C

1

D

2

E

None

Question 7

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 8

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

A

0

B

-1

C

1

Question 9

A discrete probability distribution may be represented by

A

A table

B

A graph

C

A mathematical Equation

D

All of these

Question 10

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 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

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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

The lower and upper quartiles of standard normal variate are respectively

A

-0.6745 and 0.6745

B

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

C

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

D

-0.7979 and 0.7979

Question 2

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

A

135

B

50

C

70

D

60

Question 3

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

A

Mean Deviation

B

Quantile Deviation

C

Standard Deviation

D

Variance

Question 4

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

A

Standard Deviation

B

Mean

C

Mode

D

None

Question 5

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

A

7

B

55

C

104

D

49

Question 6

Normal Distribution is

A

Mesokurtic

B

None

C

Leptokurtic

D

PLatykurtic

Question 7

The Normal Curve is asymptotic to the

A

Along Y=X

B

Y-axis

C

None

D

X-axis

Question 8

Area under the normal curve on either side of mean is

A

Mean value

B

0.5

C

1

D

-1

E

2

Question 9

Total Area under the normal curve is

A

Greater than 1

B

0

C

1

D

None

E

Less than 1

Question 10

We use normal distribution when "n" is

A

Small

B

Fixed

C

None

D

Large

Question 11

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

A

None

B

$\mu, MD$

C

$\sqrt{2\pi},e$

D

$\mu,\sigma$

Question 12

Mean deviation of Normal Distribution is

A

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

B

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

C

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

D

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

Question 13

The Normal Distribution has parameters

A

1

B

4

C

2

D

3

Question 14

Normal Distribution

A

Uni Modal

B

Have no Mode

C

Bi Modal

D

Multi Modal

E

Tri Modal

Question 15

In case of symmetrical distribution

A

Mean=Mode=Median

B

$\mu_3=\mu_4$

C

$\mu_1 = \mu_2$

D

$\beta_1 =\beta_4$

Question 16

Shape of normal curve can be related to

A

L

B

Circle

C

Bell

D

Rectangle

E

J

Question 17

The shape of normal curve depends upon

A

None

B

Quartile Deviation

C

Mean Deviation

D

Standard Deviation

E

Mean

Question 18

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

A

1

B

0.5

C

$\mu$

D

0

Question 19

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

A

49

B

7

C

4

D

16

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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.
Currently Ph.D. Scholar (Statistics), Bahauddin Zakariya University Multan.
Like Applied Statistics and Mathematics and Statistical Computing.
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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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which questions you need to be solved.

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nice practice . thanks a lot

Great MCQS of Statistic for NTS Test, PPSC