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This section includes 83 Mcqs, each offering curated multiple-choice questions to sharpen your VITEEE knowledge and support exam preparation. Choose a topic below to get started.
51. |
The selling price of product is subtracted from purchasing price of product to calculate |
A. | profit of product |
B. | loss of profit |
C. | cumulative average |
D. | weighted average |
Answer» B. loss of profit | |
52. |
If the value of m in beta distribution is 35 and the value of n in beta distribution is 50 then the expected value of random variable x in beta distribution is |
A. | 0.411 |
B. | 0.311 |
C. | 0.511 |
D. | 0.211 |
Answer» B. 0.311 | |
53. |
In the Poisson probability distribution, if the value of λ is integer then the distribution will be |
A. | bimodal |
B. | unimodal |
C. | positive modal |
D. | negative modal |
Answer» B. unimodal | |
54. |
The binomial probability distribution is classified as symmetric if |
A. | value of p and q is equal |
B. | value of p is greater than q |
C. | value of p is smaller than q |
D. | all of above |
Answer» B. value of p is greater than q | |
55. |
The probability of failure in binomial distribution is denoted by |
A. | p = q +1 |
B. | p = q - 1 |
C. | q = 1 + p |
D. | q = 1 - p |
Answer» E. | |
56. |
If the trial is repeated 6 times and the chances of success for desired outcome is 0.75 then the variance for negative probability distribution is |
A. | 4.67 |
B. | 2.67 |
C. | 3.67 |
D. | 5.67 |
Answer» C. 3.67 | |
57. |
If the value of λ is 9 and value of random variable x is 5 then the value of z-score is |
A. | −2.58 |
B. | −1.86 |
C. | −2.34 |
D. | −1.34 |
Answer» E. | |
58. |
If the chances of success in a distribution are 0.68 and the number of values in distribution are 4 then the mean of Poisson probability distribution is |
A. | 3.72 |
B. | 1.72 |
C. | 2.72 |
D. | 4.72 |
Answer» D. 4.72 | |
59. |
For the Gamma distribution, if the value of n is equal to 15 and the value of μ is 7 then the expected value for this distribution is |
A. | 3.14 |
B. | 2.14 |
C. | 4.14 |
D. | 5.14 |
Answer» C. 4.14 | |
60. |
The formula of calculating the expected value of random variable x of gamma distribution is as |
A. | E(x) = n ⁄ μ |
B. | E(x) = pq ⁄ μ |
C. | E(x) = μ ⁄ np |
D. | E(x) = α ⁄ μ |
Answer» B. E(x) = pq ⁄ μ | |
61. |
The type of distribution which is useful when the occurrences of events are constant is classified as |
A. | open frequency distribution |
B. | class frequency distribution |
C. | rectangular distribution |
D. | square distribution |
Answer» D. square distribution | |
62. |
The probability distribution of discrete random variable is classified as |
A. | probability mass function |
B. | posterior mass function |
C. | interior mass function |
D. | continuous mass function |
Answer» B. posterior mass function | |
63. |
The class of variable which can accept only the values from set of integers is classified as |
A. | discrete random variable |
B. | continuous random variable |
C. | posterior random variable |
D. | interior random variable |
Answer» B. continuous random variable | |
64. |
if the z-score of normal distribution is 2.5, the mean of the distribution is 45 and the standard deviation of normal distribution is 3 then the value of x for a normal distribution is |
A. | 97.5 |
B. | 47.5 |
C. | 37.5 |
D. | 67.5 |
Answer» D. 67.5 | |
65. |
The value which is used to measure the distance between mean and random variable x in terms of standard deviation is called |
A. | z-value |
B. | variance |
C. | probability of x |
D. | density function of x |
Answer» B. variance | |
66. |
In the classification of probability distributions, the 'Erlang distribution' is also called |
A. | alpha distribution |
B. | beta distribution |
C. | gamma distribution |
D. | exponential distribution |
Answer» D. exponential distribution | |
67. |
The formula of calculating mean for hyper geometric probability distribution is |
A. | n (m ⁄ n) |
B. | m (n ⁄ n) |
C. | n (n ⁄ m) |
D. | n (m ⁄ n) |
Answer» E. | |
68. |
If the rate of occurrences in Poisson probability distribution is smaller and the occurrences have large numbers then the distribution tends to be |
A. | negatively skewed and mesokurtic |
B. | positively skewed and mesokurtic |
C. | symmetrical and leptokurtic |
D. | symmetrical and mesokurtic |
Answer» E. | |
69. |
If the sample size is 6 and the population is 50 from which it is drawn without replacement and the elements for success are 22 then the variance of hyper geometric probability distribution is |
A. | 1.388 |
B. | 2.388 |
C. | 3.388 |
D. | 4.388 |
Answer» B. 2.388 | |
70. |
If the value of x for normal distribution is 35, the mean of normal distribution is 65 and the standard deviation is 25 then the standardized random variable is |
A. | −1.5 |
B. | −1.2 |
C. | −1.7 |
D. | −4 |
Answer» C. −1.7 | |
71. |
Consider the probability distribution as standard normal, if the value of μ is 75, the value of x is 120 with the unknown standard deviation of distribution then the value of z-statistic |
A. | will be one |
B. | will be zero |
C. | will be negative |
D. | will be positive |
Answer» E. | |
72. |
If the μ is equal to 25 then the value of mean for exponential probability distribution is |
A. | 0.4 |
B. | 0.08 |
C. | 0.07 |
D. | 0.04 |
Answer» E. | |
73. |
The discrete probability distribution in which the outcome is very small with a very small period of time is classified as |
A. | posterior distribution |
B. | cumulative distribution |
C. | normal distribution |
D. | Poisson distribution |
Answer» E. | |
74. |
If the total number of elements with some specific characteristics is 18 from a population of 40 and the sample is drawn without replacement with the size of 4 then the mean of hyper geometric probability distribution is |
A. | 4.8 |
B. | 1.8 |
C. | 2.8 |
D. | 3.8 |
Answer» C. 2.8 | |
75. |
If the random samples are drawn without replacement and the population from which samples are drawn is infinite then the method which is not applicable is |
A. | weighted error probability distribution |
B. | hyper geometric probability distribution |
C. | Bernoulli probability distribution |
D. | asymmetrical random distribution |
Answer» C. Bernoulli probability distribution | |
76. |
The class of variable which can accept any value within the upper and lower limit is classified as |
A. | posterior random variable |
B. | interior random variable |
C. | discrete random variable |
D. | continuous random variable |
Answer» E. | |
77. |
The tail or head, the one or zero and the girl and boy are examples of |
A. | non functional events |
B. | complementary events |
C. | non complementary events |
D. | functional events |
Answer» C. non complementary events | |
78. |
The number of products manufactured in a factory in a day are 3500 and the probability that some pieces are defected is 0.55 then the mean of binomial probability distribution is |
A. | 1925 |
B. | 6364 |
C. | 63.64 |
D. | 3500 |
Answer» B. 6364 | |
79. |
The condition for negative exponential distribution considering mean (μ) is that |
A. | μ must be less than zero |
B. | μ must be greater than one |
C. | μ must be greater than zero |
D. | μ must be smaller than twp |
Answer» D. μ must be smaller than twp | |
80. |
The value which is obtained by multiplying the possible values of random variable with the probability of occurrence and is equal to weighted average is called |
A. | discrete value |
B. | weighted value |
C. | expected value |
D. | cumulative value |
Answer» D. cumulative value | |
81. |
In the normal distribution, the normal curve becomes more wider and more flatter because of |
A. | small value of variance |
B. | large value of variance |
C. | large value of standard deviation |
D. | small value of standard deviation |
Answer» D. small value of standard deviation | |
82. |
The formula to calculate standardized normal random variable is |
A. | x - μ ⁄ σ |
B. | x + μ ⁄ σ |
C. | x - σ ⁄ μ |
D. | x + σ ⁄ μ |
Answer» B. x + μ ⁄ σ | |
83. |
In a negative binomial distribution of probability, the random variable is also classified as |
A. | discrete random variable |
B. | continuous waiting time random variable |
C. | discrete waiting time random variable |
D. | discrete negative binomial variable |
Answer» D. discrete negative binomial variable | |