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This section includes 3246 Mcqs, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.
101. |
When X follows binomial distribution, P(X=0) is......................... |
A. | 0 |
B. | 1 |
C. | qn |
D. | pn |
Answer» D. pn | |
102. |
Mean and variance of Poisson distribution is equal to ............................... |
A. | m |
B. | e |
C. | np |
D. | npq |
Answer» B. e | |
103. |
If two independent random variables follow binomial distribution, their sum follows.............. |
A. | binomial distribution |
B. | poisson distribution |
C. | normal distribution |
D. | none of these |
Answer» B. poisson distribution | |
104. |
In Poisson distribution, the value of ‘e’ = .......................... |
A. | 2.178 |
B. | 2.817 |
C. | 2.718 |
D. | 2.871 |
Answer» D. 2.871 | |
105. |
Poisson distribution is a ........................... distribution. |
A. | negatively skewed distribution |
B. | positively skewed distribution |
C. | symmetrical distribution |
D. | none of these |
Answer» C. symmetrical distribution | |
106. |
In Poisson distribution, mean is denoted by ........................ |
A. | npq |
B. | np |
C. | m |
D. | e |
Answer» D. e | |
107. |
Poisson distribution is the limiting form of ............................... |
A. | binomial distribution |
B. | normal distribution |
C. | poisson |
D. | none of these |
Answer» B. normal distribution | |
108. |
Poisson distribution is originated by .......................... |
A. | de-moivre |
B. | bernoulli |
C. | poisson |
D. | none of these |
Answer» D. none of these | |
109. |
For a binomial distribution, the parameter n takes ...................... values |
A. | finite |
B. | infinite |
C. | continuous |
D. | none of these |
Answer» B. infinite | |
110. |
For a binomial distribution with probability p of a success and of q of a failure, the relationbetween mean and variance is ............................. |
A. | mean is less than variance |
B. | mean is greater than variance |
C. | mean is equal to variance |
D. | mean is greater than or equal to variance |
Answer» C. mean is equal to variance | |
111. |
In a .............................. distribution, mean is equal to variance |
A. | binomial |
B. | poisson |
C. | normal |
D. | gamma |
Answer» C. normal | |
112. |
In a binomial distribution, if n =8 and p = 1/3, then variance = ........................ |
A. | 8/3 |
B. | 48/3 |
C. | 64/3 |
D. | 16/9 |
Answer» E. | |
113. |
npq is the variance of .................................... |
A. | binomial distribution |
B. | poisson distribution |
C. | probability distribution |
D. | none of these |
Answer» B. poisson distribution | |
114. |
If the random variable of a probability distribution assumes specific values only, then it iscalled ............................... |
A. | discrete probability distribution |
B. | continuous probability distribution |
C. | probability distribution |
D. | none of these |
Answer» B. continuous probability distribution | |
115. |
Random variable is also called .............................. |
A. | stochastic variable |
B. | chance variable |
C. | both |
D. | none of these |
Answer» D. none of these | |
116. |
The height of persons in a country is a .......................... random variable. |
A. | discrete |
B. | continuous |
C. | discrete as well as continuous |
D. | neither discrete nor continuous |
Answer» C. discrete as well as continuous | |
117. |
Probability distribution is also called theoretical distribution. |
A. | yes |
B. | no |
C. | probability |
D. | none of these |
Answer» B. no | |
118. |
Baye’s theorem is based upon inverse probability. |
A. | yes |
B. | no |
C. | probability |
D. | none of these |
Answer» B. no | |
119. |
When probability is revised on the basis of all the available information, it is called ............. |
A. | priori probability |
B. | posterior probability |
C. | continuous |
D. | none of these |
Answer» C. continuous | |
120. |
Binomial distribution is originated by .................................. |
A. | prof. karl pearson |
B. | simeon dennis poisson |
C. | james bernoulli |
D. | de-moivre |
Answer» D. de-moivre | |
121. |
If it is known that an event A has occurred, the probability of an event B given A is called............................ |
A. | empirical probability |
B. | conditional probability |
C. | priori probability |
D. | posterior probability |
Answer» C. priori probability | |
122. |
The mean of a binomial distribution is ........................... |
A. | np |
B. | npq |
C. | square root of npq |
D. | none of these |
Answer» B. npq | |
123. |
Binomial distribution is a ................................ probability distribution |
A. | discrete |
B. | continuous |
C. | continuous distribution |
D. | none of these |
Answer» B. continuous | |
124. |
Chance for an event may be expressed as ................. |
A. | percentage |
B. | proportion |
C. | infinity |
D. | none of these |
Answer» E. | |
125. |
The sum of probabilities of all possible elementary outcomes of a random experiment isalways equal to ................... |
A. | 0 |
B. | 1 |
C. | infinity |
D. | none of these |
Answer» C. infinity | |
126. |
........................ refers to the totality of all the elementary outcomes of a random experiment. |
A. | sample point |
B. | sample space |
C. | simple event |
D. | none of these |
Answer» C. simple event | |
127. |
The definition of priori probability was originally given by ............................ |
A. | de-moivre |
B. | laplace |
C. | pierre de fermat |
D. | james bernoulli |
Answer» C. pierre de fermat | |
128. |
An event consisting of those elements which are not in the given event is called............. |
A. | simple event |
B. | derived event |
C. | complementary event |
D. | none of these |
Answer» D. none of these | |
129. |
If two events, A and B are not mutually exclusive, the P(AUB) = .................. |
A. | p(a) + p(b) |
B. | p(a) + p(b) - p(a and b) |
C. | p(a) + p(b) + p(a and b) |
D. | none of these |
Answer» C. p(a) + p(b) + p(a and b) | |
130. |
If two events, A and B are mutually exclusive, then P(AUB) = ......................... |
A. | p(a) + p(b) |
B. | p(a) + p(b) - p(a and b) |
C. | p(a) + p(b) + p(a and b) |
D. | none of these |
Answer» B. p(a) + p(b) - p(a and b) | |
131. |
In tossing a coin , getting head and getting tail are ............................................ |
A. | mutually exclusive events |
B. | simple events |
C. | complementary events |
D. | all the above |
Answer» B. simple events | |
132. |
Probability of sample space of a random experiment is ............................ |
A. | -1 |
B. | 0 |
C. | +1 |
D. | between 0 and +1 |
Answer» D. between 0 and +1 | |
133. |
Two events are said to be ..................... , if any one of them cannot be expected to occur inpreference to the other. |
A. | equally likely |
B. | mutually exclusive |
C. | dependent |
D. | none of them |
Answer» B. mutually exclusive | |
134. |
Probability of an event lies between ................................ |
A. | +1 and -1 |
B. | 0 and 1 |
C. | 0 and -1 |
D. | 0 and infinite |
Answer» C. 0 and -1 | |
135. |
Two events are said to be independent if ........................ |
A. | there is no common point in between them |
B. | both the events have only one point |
C. | each outcome has equal chance of occurrence |
D. | one does not affect the occurrence of the other |
Answer» E. | |
136. |
If two sets have no common element, they are called .................... |
A. | subset |
B. | super set |
C. | disjoint set |
D. | equal set |
Answer» D. equal set | |
137. |
When two events cannot occur together is called ........................ |
A. | equally likely |
B. | mutually exclusive |
C. | random events |
D. | none of these |
Answer» C. random events | |
138. |
Classical probability is also called ......................... |
A. | priori probability |
B. | mathematical probability |
C. | finite set |
D. | none of these |
Answer» E. | |
139. |
When P(AUB) = P(A) + P(B), then A and B are ............................. |
A. | dependent |
B. | independent |
C. | mutually exclusive |
D. | none of these |
Answer» D. none of these | |
140. |
The relative frequency approach is also called ................................ |
A. | empirical approach |
B. | statistical probability |
C. | apsteriori probability |
D. | all the above |
Answer» E. | |
141. |
Selection of objects without considering their order is called ................................... |
A. | combination |
B. | permutation 94. 12c12 = ................ |
C. | independent |
D. | none of them |
Answer» B. permutation 94. 12c12 = ................ | |
142. |
....................... refers to the arrangement of objects in a definite order. |
A. | combination |
B. | permutation |
C. | independent |
D. | none of them |
Answer» C. independent | |
143. |
A set of events are said to be ...................... , if the occurrence of one of them excludes thepossibility of the occurrence of the other. |
A. | mutually exclusive |
B. | not mutually exclusive |
C. | independent |
D. | none of them |
Answer» B. not mutually exclusive | |
144. |
An event whose occurrence is inevitable is called ...................................... |
A. | sure event |
B. | impossible event |
C. | uncertain event |
D. | none of these |
Answer» B. impossible event | |
145. |
An event whose occurrence is neither sure nor impossible, is called ........................... |
A. | sure event |
B. | impossible event |
C. | uncertain event |
D. | none of these |
Answer» D. none of these | |
146. |
An event whose occurrence is impossible, is called ...................... |
A. | sure event |
B. | impossible event |
C. | uncertain event |
D. | none of these |
Answer» B. impossible event | |
147. |
............................ has two or more outcomes which vary in an unpredictable manner from trial to trialwhen conducted under uniform conditions. |
A. | experiment |
B. | random experiment |
C. | probability |
D. | none of these |
Answer» C. probability | |
148. |
The result of a random experiment is called ................................. |
A. | sample space |
B. | event |
C. | probability |
D. | none of these |
Answer» C. probability | |
149. |
Sample point is also called ......................... |
A. | sample space |
B. | elementary outcome |
C. | probability |
D. | none of these |
Answer» C. probability | |
150. |
The arithmetic mean of bxy and byx is ............................. |
A. | equal to 1 |
B. | equal to 0 |
C. | greater than r |
D. | less than r |
Answer» D. less than r | |