MCQOPTIONS
Saved Bookmarks
MCQOPTIONS
This section includes 992 Mcqs, each offering curated multiple-choice questions to sharpen your General Aptitude knowledge and support exam preparation. Choose a topic below to get started.
| 451. |
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. | |
| 452. |
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 | |
| 453. |
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 | |
| 454. |
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 | |
| 455. |
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 | |
| 456. |
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 | |
| 457. |
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. | |
| 458. |
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 | |
| 459. |
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 | |
| 460. |
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 | |
| 461. |
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 | |
| 462. |
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 | |
| 463. |
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 | |
| 464. |
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. | |
| 465. |
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 | |
| 466. |
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 | |
| 467. |
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 | |
| 468. |
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 | |
| 469. |
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. | |
| 470. |
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 | |
| 471. |
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 | |
| 472. |
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 | |
| 473. |
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 | |
| 474. |
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 | |
| 475. |
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 | |
| 476. |
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 | |
| 477. |
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 | |
| 478. |
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. | |
| 479. |
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. | |
| 480. |
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 | |
| 481. |
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 | |
| 482. |
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. | |
| 483. |
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. | |
| 484. |
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 | |
| 485. |
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 | |
| 486. |
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 | |
| 487. |
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 | |
| 488. |
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 | |
| 489. |
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 | |
| 490. |
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 | |
| 491. |
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 | |
| 492. |
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. | |
| 493. |
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 | |
| 494. |
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 | |
| 495. |
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 | |
| 496. |
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 | |
| 497. |
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 | |
| 498. |
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 | |
| 499. |
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 | |
| 500. |
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 | |