# 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)

## Statistics Mcqs For Lecturer & Subject Specialist PSC Exam

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