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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 | |