MCQOPTIONS
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MCQOPTIONS
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.
| 1. |
In binomial probability distribution, the success and failure generated by the trial is respectively denoted by |
| A. | p and q |
| B. | a and b |
| C. | p + q |
| D. | p - q |
| Answer» B. a and b | |
| 2. |
In binomial probability distribution, the dependents of standard deviations must includes |
| A. | probability of q |
| B. | probability of p |
| C. | trials |
| D. | all of above |
| Answer» E. | |
| 3. |
The binomial probability distribution is classified as skewed to left if |
| A. | p > 0.5 |
| B. | q > 0.5 |
| C. | p < 0.5 |
| D. | q < 0.5 |
| Answer» B. q > 0.5 | |
| 4. |
The number of units multiply profit per unit multiply probability to calculate |
| A. | discrete profit |
| B. | expected profit |
| C. | weighted profit |
| D. | continuous profit |
| Answer» C. weighted profit | |
| 5. |
The distribution whose function is calculated by considering the Bernoulli trials that are infinite In number is classified as |
| A. | negative Poisson distribution |
| B. | bimodal cumulative distribution |
| C. | common probability distribution |
| D. | negative binomial probability distribution |
| Answer» E. | |
| 6. |
If the value of x is less than μ of standard normal probability distribution then the |
| A. | z-statistic is negative |
| B. | z-statistic is positive |
| C. | f(x) will be even number |
| D. | f(x) will be prime number |
| Answer» B. z-statistic is positive | |
| 7. |
If the value of p is smaller or lesser than 0.5 then the binomial distribution is classified as |
| A. | skewed to right |
| B. | skewed to left |
| C. | skewed to infinity |
| D. | skewed to integers |
| Answer» B. skewed to left | |
| 8. |
If the number of trials are 8 and the probability of success are 0.65 then the mean of negative probability distribution is |
| A. | 8.65 |
| B. | 12.31 |
| C. | 5.2 |
| D. | 7.35 |
| Answer» C. 5.2 | |
| 9. |
In binomial distribution, the formula of calculating standard deviation is |
| A. | square root of p |
| B. | square root of pq |
| C. | square root of npq |
| D. | square root of np |
| Answer» D. square root of np | |
| 10. |
The process in which the trials are statistically independent and each trial of event has only two outcomes is classified as |
| A. | Bernoulli process |
| B. | Bayes process |
| C. | functional process |
| D. | independent limited process |
| Answer» B. Bayes process | |
| 11. |
If the mean of binomial probability distribution is 25 then the mean of Poisson probability distribution is |
| A. | 70 |
| B. | 50 |
| C. | 25 |
| D. | 50 |
| Answer» D. 50 | |
| 12. |
If the μ is equal to 8 then the standard deviation of exponential probability distribution is |
| A. | 0.425 |
| B. | 0.125 |
| C. | 0.225 |
| D. | 0.325 |
| Answer» C. 0.225 | |
| 13. |
In the normal distribution, the z-score and z-statistic are classified as names of |
| A. | standardized normal random variable |
| B. | Poisson random variable |
| C. | normal geometric variable |
| D. | weighted average variable |
| Answer» B. Poisson random variable | |
| 14. |
The demand of products per day for three days are 21, 19, 22 units and their respective probabilities are 0.29, 0.40, 0.35. The profit per unit is $0.50 then the expected profits for three days are |
| A. | 21, 19, 22 |
| B. | 21.5, 19.5, 22.5 |
| C. | 0.29, 0.40, 0.35 |
| D. | 3.045, 3.8, 3.85 |
| Answer» E. | |
| 15. |
The formula of calculating the variance for negative binomial distribution is |
| A. | rq ⁄ p2 |
| B. | pq ⁄ r2 |
| C. | rp ⁄ q2 |
| D. | rq ⁄ p |
| Answer» B. pq ⁄ r2 | |
| 16. |
The formula of calculating mean for the negative binomial probability distribution is |
| A. | q ⁄ p |
| B. | P ⁄ Q |
| C. | p ⁄ r |
| D. | r ⁄ p |
| Answer» E. | |
| 17. |
The types of probability distributions by taking their functions of considerations must include |
| A. | posterior probability distribution |
| B. | discrete probability distribution |
| C. | continuous probability distribution |
| D. | both b and c |
| Answer» E. | |
| 18. |
The variance of random variable x of gamma distribution can be calculated as |
| A. | Var(x) = n + 2 ⁄ μsup2; |
| B. | Var(x) = n ⁄ μsup2; |
| C. | Var (x) = n * 2 ⁄ μsup2; |
| D. | Var(x) = n - 2 ⁄ μsup3; |
| Answer» C. Var (x) = n * 2 ⁄ μsup2; | |
| 19. |
In random experiment, the observations of random variable are classified as |
| A. | events |
| B. | composition |
| C. | trials |
| D. | functions |
| Answer» D. functions | |
| 20. |
The formula in which the binomial distribution approaches normal probability distribution with the help of normal variable is written as |
| A. | x - qn divided by square root of pq |
| B. | x - np divided by square root of npq |
| C. | x + np divided by square root of np |
| D. | x - pq divided by square root of npq |
| Answer» C. x + np divided by square root of np | |
| 21. |
The successful life of product, the time, the weight and the height are classified as |
| A. | continuous random variable |
| B. | discrete random variable |
| C. | continuous waiting time variable |
| D. | continuous hyper geometric variable |
| Answer» B. discrete random variable | |
| 22. |
Considering the normal distribution, the spread is decreased and the height of the curve is increased for the |
| A. | larger value of standard deviation |
| B. | smaller value of standard deviation |
| C. | smaller value of variance |
| D. | larger value of variance |
| Answer» C. smaller value of variance | |
| 23. |
If the μ is equal to 4 then the variance of exponential probability distribution is |
| A. | 0.0625 |
| B. | 0.085 |
| C. | 0.0925 |
| D. | 0.0725 |
| Answer» B. 0.085 | |
| 24. |
If the parameter μ is 11 and the n of the gamma distribution is 50 then the variance of gamma distribution is |
| A. | 0.713 |
| B. | 0.613 |
| C. | 0.513 |
| D. | 0.413 |
| Answer» E. | |
| 25. |
The probability of success increases in the binomial probability distribution if the value of |
| A. | p increases |
| B. | p decrease |
| C. | q increases |
| D. | q decreases |
| Answer» B. p decrease | |
| 26. |
If the value of interval a is 2.5 and the value of interval b is 3.5 then the value of mean for uniform distribution is |
| A. | 0.5 |
| B. | 3 |
| C. | 2.5 |
| D. | 3.5 |
| Answer» C. 2.5 | |
| 27. |
The formula in which the Poisson probability distribution approaches normal probability distribution with the help of normal variable is written as |
| A. | x + λ ⁄ square root of λ |
| B. | x * λ ⁄ square root of x*λ |
| C. | x - λ ⁄ square root of λ |
| D. | x + λ ⁄ square root of pqλ |
| Answer» D. x + λ ⁄ square root of pqλ | |
| 28. |
The standard normal probability distribution has mean equal to 40, whereas the value of random variable x is 80 and the z-statistic is equal to 1.8 then the standard deviation of standard normal probability distribution is |
| A. | 120 |
| B. | 80 |
| C. | 40 |
| D. | 20 |
| Answer» E. | |
| 29. |
The variance of binomial probability distribution is larger in value if |
| A. | q is greater than 0.5 |
| B. | p and q are equal |
| C. | p and q are greater than 0.5 |
| D. | p is greater than 0.5 |
| Answer» C. p and q are greater than 0.5 | |
| 30. |
If the value of success in binomial probability distribution is 0.40 and failure is 0.60 and the number of values in distribution are 5 then the moment coefficient of skewness is |
| A. | 0.467 |
| B. | 0.167 |
| C. | 0.267 |
| D. | 0.367 |
| Answer» C. 0.267 | |
| 31. |
Considering the normal distribution, the spread is increased and the height of the curve is decreased for the |
| A. | smaller value of variance |
| B. | larger value of variance |
| C. | larger value of standard deviation |
| D. | smaller value of standard deviation |
| Answer» D. smaller value of standard deviation | |
| 32. |
In beta distribution, the expected value of random variable x is calculated as |
| A. | E(x) = m ⁄ m - n |
| B. | E(x) = n ⁄ m + n |
| C. | E(x) = m ⁄ m + n |
| D. | E(x) = n ⁄ m * n |
| Answer» D. E(x) = n ⁄ m * n | |
| 33. |
The probability distribution having shape of bell and in which the values of mean lies in center of probability distribution is classified as |
| A. | continuous distribution |
| B. | normal distribution |
| C. | discrete distribution |
| D. | hyper geometric distribution |
| Answer» C. discrete distribution | |
| 34. |
The normal distribution is also classified as |
| A. | Gaussian distribution |
| B. | Poisson distribution |
| C. | Bernoulli's distribution |
| D. | weighted average distribution |
| Answer» B. Poisson distribution | |
| 35. |
The 2600 applications for home mortgage are received by a bank and the probability of approval is 0.78 then the standard deviation of binomial probability distribution is |
| A. | 2028 |
| B. | 546.16 |
| C. | 446.16 |
| D. | 646.16 |
| Answer» D. 646.16 | |
| 36. |
For a rectangular or uniform distribution, the value of interval a is 7 and the value of interval b is 8 then the value of mean for the distribution is |
| A. | 1.33 |
| B. | 3.33 |
| C. | 2.33 |
| D. | 4.33 |
| Answer» E. | |
| 37. |
The formula of variance of uniform or rectangular distribution is as |
| A. | (b - a)2 ⁄ 6 |
| B. | (b + a)2 ⁄ 12 |
| C. | (b - a)3 ⁄ 8 |
| D. | (b + a)2 ⁄ 2 |
| Answer» C. (b - a)3 ⁄ 8 | |
| 38. |
If the value of p is 0.60 and value of n is 3 whereas the random variable x is equal to 4 then the value of z-score of distribution is |
| A. | 1.59 |
| B. | 2.59 |
| C. | 2.68 |
| D. | 0.59 |
| Answer» C. 2.68 | |
| 39. |
The mean of binomial probability distribution is 857.6 and the probability is 64% then the number of values of binomial distribution |
| A. | 1040 |
| B. | 1340 |
| C. | 1240 |
| D. | 1140 |
| Answer» C. 1240 | |
| 40. |
If the value of interval a is 4 and the value of interval b is 5 then the variance of uniform distribution is |
| A. | 6.75 |
| B. | 4.75 |
| C. | 5.75 |
| D. | 0.75 |
| Answer» B. 4.75 | |
| 41. |
In standard normal probability distribution, the z-score of distribution will be zero if |
| A. | x < μ |
| B. | x > μ |
| C. | x = μ |
| D. | all of above |
| Answer» D. all of above | |
| 42. |
If the value of failure in binomial probability distribution is 0.70 and success is 0.30 and the number of values in distribution are 7 then the moment coefficient of kurtosis is |
| A. | 0.51 |
| B. | 0.18 |
| C. | 0.28 |
| D. | 0.48 |
| Answer» C. 0.28 | |
| 43. |
The formula such as mn ⁄ (m + n)2 (m + n + 1) is used to calculate |
| A. | variance in exponential distribution |
| B. | variance in alpha distribution |
| C. | variance in gamma distribution |
| D. | variance in beta distribution |
| Answer» E. | |
| 44. |
The probability which explains x is equal to or less than particular value is classified as |
| A. | discrete probability |
| B. | cumulative probability |
| C. | marginal probability |
| D. | continuous probability |
| Answer» C. marginal probability | |
| 45. |
If the value of m in beta distribution is 5 and the value of n is 25 then the standard deviation of beta distribution is |
| A. | 0.067 |
| B. | 0.057 |
| C. | 0.047 |
| D. | 0.077 |
| Answer» B. 0.057 | |
| 46. |
In binomial distribution, the formula of calculating mean is |
| A. | μ = p + q |
| B. | μ = np |
| C. | μ = pq |
| D. | μ = qn |
| Answer» C. μ = pq | |
| 47. |
The type of continuous distribution in which the probability is constant is classified as |
| A. | rectangular distribution |
| B. | square distribution |
| C. | open frequency distribution |
| D. | class frequency distribution |
| Answer» B. square distribution | |
| 48. |
The symbol λ is used to represent |
| A. | variance of Poisson distribution |
| B. | standard deviation in Poisson distribution |
| C. | mean in Poisson distribution |
| D. | mean in cumulative distribution |
| Answer» D. mean in cumulative distribution | |
| 49. |
The formula of mean of uniform or rectangular distribution is as |
| A. | mean = 4(b + a) ⁄ 2b |
| B. | mean = (b + a) ⁄ 2 |
| C. | mean = (b - 2a) ⁄ 4 |
| D. | mean = (2a + 2b) ⁄ 2a |
| Answer» C. mean = (b - 2a) ⁄ 4 | |
| 50. |
The type of probability distribution whose standard deviation is one and the mean is equal to zero is classified as |
| A. | weighted probabilities distribution |
| B. | standard normal probability distribution |
| C. | normal cumulative probability distribution |
| D. | approximated normal distribution |
| Answer» C. normal cumulative probability distribution | |