# Statistics Mcqs For Lecturer & Subject Specialist PSC Exam

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

A listing of the possibile outcomes of an experiment and their corresponding probability is calledA Random Variable

B Contingency table

C Bayesian table

D Probability distribution

E Frequency distribution

Question 3

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

The collection of one or more outcomes from an experiment is calledA Probability

B Event

C Random Variable

D Z-Value

E Random Experiment

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

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 7

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 8

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

B Mutually Exclusive

C Bayesian

D Empirical

Question 9

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

In a Poisson probability distributionA 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

In special rule of addition of probability, the events are alwaysA Independent events

B Mutually Exclusive events

C Bayesian

D Empirical

Question 12

The joint probability isA 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 exlclusive events

D Also called Prior probability

Question 13

The the special rule of multiplication of probability, the events must beA Independent

B Mutually exclusive

C Bayesian

D Empirical

Question 14

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.

Binomial distribution is negatively skewed whenA p=0

B p>1/2

C p<1/2

D p=-1/2

E p=1/3

Question 2

Successive trials in binomial distribution areA Dependent

B Independent

C Equally Likely

D Mutually exclusive

E None

Question 3

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

B p

C 0

D 1

Question 4

In which distribution successive trials are without replacementA Hypergeometric distribution

B Binomial distribution

C Poisson distribution

D Geometric distribution

Question 5

Hypergeometric distribution has parametersA 2

B 1

C 3

D 4

E No

Question 6

Binomial distribution has parametersA Three

B Two

C One

D Four

E None

Question 7

Binomial distribution is symmetrical whenA p = q

B p > q

C p < q

D np > npq

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

The mean of hypergeometric distribution isA nk

N

B N−k

n

C nN

k

D n+k

N

Question 10

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

B Less than zero

C Zero

D More than zero

Question 11

In a binomial probability distribution it is impossible to findA P(X < 0)

B P(X = 0)

C P(X > 0)

D P(0 ≤ X ≤ n)

Question 12

The mean, median and mode for binomial distribution will be equal whenA p =0.5

B p< 0.5

C p> 0.5

D p= 1

E None of these

Question 13

Each trial in Binomial distribution hasA One Outcome

B Two Outcome

C Three Outcome

D Four Outcome

Question 14

A fair coin is tossed four times, the probability of getting four heads isA 1/4

B 1/2

C 1/16

D 1

E 0

Question 15

Which of the following is not the property of binomial distributionA n is fixed

B has two outcomes

C Trials are independent

D Probability of success varies from trial to trial

Question 16

The variance of binomial distribution is alwaysA Less than mean

B Equal to mean

C Greater than mean

D Equal to standard deviation

E None of these

Question 17

The probability of success changes from trial to trial inA Binomial distribution

B Geometric distribution

C Sampling distribution

D Hypergeometric distribution

Question 18

The mean of binomial distribution isA npq

B np

C npq

−

−

−

√

D np

−

−

√

E nq

−

−

√

Question 19

In hypergeometric distribution, the trials areA Independent

B Dependent

C Collectively Exhaustive

D None

Question 20

The successive trials are with replacement inA Hypergeometric distribution

B Binomial distribution

C Geometric distribution

D None of above

Total Area under the curve in probability of density function isA 0

B -1

C 1

D Infinity

Question 2

For a random variable X, E(X) isA Harmonic Mean (HM)

B Geometric Mean (GM)

C Arithmetic Mean (AM)

D Non

Question 3

Probability distribution of a random variable is also known asA Probability

B Probability Function

C Distribution Function

D Probability Distribution

E Probability Density Function

Question 4

Probability of occurrence of an event lies betweenA -1 and 0

B 0 and 1

C -1 and 1

D exactly 1

Question 5

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 6

For distribution Function F(X), F(−∞)=0 and

F(∞)=?A 0

B -1

C 1

Question 7

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

B C

C 1

D 2

E None

Question 8

A discrete probability distribution may be represented byA A table

B A graph

C A mathematical Equation

D All of these

Question 9

For a probability density function (pdf), the probability of a single point isA 1

B 2

C 0

D Constant

Question 10

The probability function is alwaysA Negative

B Non Negative

C Positive

D None

Question 11

The distribution function F(X) is represented by A P(X=x)

B P(X

C P(X>x)

D P(X≤x)