McqMate
These multiple-choice questions (MCQs) are designed to enhance your knowledge and understanding in the following areas: Bachelor of Science in Computer Science (BSc CS) .
| 1. |
What is E(ax+b)? |
| A. | ax+b, |
| B. | ax, |
| C. | aE(x), |
| D. | aE(x)+b |
| Answer» D. aE(x)+b | |
| 2. |
Write mean in term of moments? |
| A. | µ1’, |
| B. | µ2’, |
| C. | µ2’- µ1’, |
| D. | ( µ1’)2 |
| Answer» A. µ1’, | |
| 3. |
V(ax+b)= ……………….. |
| A. | ax+b, |
| B. | aV(x)+b, |
| C. | a2V(x)+b, |
| D. | a2V(x) |
| Answer» D. a2V(x) | |
| 4. |
The scatterness of observation is called …………… |
| A. | Skewness, |
| B. | Kurtosis, |
| C. | Dispersion, |
| D. | Mean |
| Answer» C. Dispersion, | |
| 5. |
For leptokurtic distribution |
| A. | β2 < 3, |
| B. | β2 > 3, |
| C. | β2= 3, |
| D. | β2= 0 |
| Answer» B. β2 > 3, | |
| 6. |
Any measure calculated on the basis of population value is called ……… |
| A. | Parameter, |
| B. | Statistic, |
| C. | Sample, |
| D. | Distribution |
| Answer» A. Parameter, | |
| 7. |
Give the suitable expression for E(x-c)2 |
| A. | E(x2)-C2, |
| B. | (E(x)-E(c))2, |
| C. | V(x) + (E(x)-C)2, |
| D. | V(x2)-C2 |
| Answer» C. V(x) + (E(x)-C)2, | |
| 8. |
The degree of relation between two variable is called |
| A. | Correlation |
| B. | Regression |
| C. | Correlation Coefficient |
| Answer» A. Correlation | |
| 9. |
Correlation coefficient lies between ………… |
| A. | 0 & 1, |
| B. | -1 & 1, |
| C. | -1 & 0, |
| D. | -∞ & ∞ |
| Answer» B. -1 & 1, | |
| 10. |
If there is no relation between two variables correlation is called ………… |
| A. | Positive, |
| B. | Zero, |
| C. | Negative, |
| D. | Normal |
| Answer» B. Zero, | |
| 11. |
What is the maximum value of probability? |
| A. | 1 |
| B. | zero |
| C. | -1 |
| D. | 2 |
| Answer» A. 1 | |
| 12. |
P (AUB) =? |
| A. | P(A)+P(B) |
| B. | P(A) U P(B) |
| C. | P(A) - P(B) |
| D. | P(A)+P(B)-P(A∩B) |
| Answer» D. P(A)+P(B)-P(A∩B) | |
| 13. |
In which distribution means variance coincide? |
| A. | Binomial |
| B. | Poisson |
| C. | Uniform |
| D. | Normal |
| Answer» B. Poisson | |
| 14. |
Binomial distribution is a ______ distribution? |
| A. | Discrete |
| B. | Continuous |
| C. | Bivariate |
| Answer» A. Discrete | |
| 15. |
_____ distribution is a limiting case of binomial? |
| A. | Normal |
| B. | Poisson |
| C. | Uniform |
| D. | Gamma |
| Answer» B. Poisson | |
| 16. |
What is the mean of the binomial distribution? |
| A. | n |
| B. | p |
| C. | np |
| D. | npq |
| Answer» C. np | |
| 17. |
If A & B are independent events which of the following are true |
| A. | P(AUB)=P(A)+P(B) |
| B. | P(A∩B)=P(A).P(B) |
| C. | P(A/B)=P(A)/P(B) |
| D. | P(A-B)=P(A)-P(B) |
| Answer» B. P(A∩B)=P(A).P(B) | |
| 18. |
What is the MGF of Normal distribution? |
| A. | (q+pet)n |
| B. | e(et-1) |
| C. | npq |
| D. | eµt + t2 Ϭ2/2 |
| Answer» D. eµt + t2 Ϭ2/2 | |
| 19. |
Find variance in terms of moments? |
| A. | µ2! , |
| B. | µ1! , |
| C. | (µ1!)2 |
| D. | µ2! - (µ1!)2 |
| Answer» D. µ2! - (µ1!)2 | |
| 20. |
If mean=median=mode in a distribution then which is called____________? |
| A. | Binomial |
| B. | Normal |
| C. | Poisson |
| D. | Uniform |
| Answer» B. Normal | |
| 21. |
The degree to which numerical data tend to spread about an average value is |
| A. | Mean, |
| B. | Average, |
| C. | Dispersion, |
| D. | Mode |
| Answer» C. Dispersion, | |
| 22. |
____________ =Q3-Q1/2 |
| A. | skewness, |
| B. | Quartile deviation, |
| C. | Mean deviation, |
| D. | Range |
| Answer» B. Quartile deviation, | |
| 23. |
Mean deviation is least when calculated from ________________ |
| A. | Mean, |
| B. | Median, |
| C. | Mode, |
| D. | S.D |
| Answer» B. Median, | |
| 24. |
If the varience is 256, then S.D is |
| A. | 16, |
| B. | 4, |
| C. | 2, |
| D. | 512 |
| Answer» A. 16, | |
| 25. |
S.D is a measure of ____________dispersion |
| A. | Relative, |
| B. | absolute, |
| C. | Negative, |
| D. | None of these |
| Answer» B. absolute, | |
| 26. |
In a symmetrical distribution quartiles are equidistant from____________ |
| A. | Mean, |
| B. | Median, |
| C. | Mode, |
| D. | S.D |
| Answer» B. Median, | |
| 27. |
In a negatively skewed distribution, |
| A. | Mean=Median=Mode, |
| B. | Mode<Median<Mode, |
| C. | Mode<Median<Mean, |
| D. | Mean<Median<Mode |
| Answer» D. Mean<Median<Mode | |
| 28. |
Karl Pearson coefficient of skewness does not depend on |
| A. | Mean, |
| B. | Median, |
| C. | Mode, |
| D. | First quartile |
| Answer» D. First quartile | |
| 29. |
In a Binomial distribution varience is 4/3 and p(success) is 1/3 find mean? |
| A. | 2, |
| B. | 4, |
| C. | 6, |
| D. | 8 |
| Answer» A. 2, | |
| 30. |
Find the varience of the binomial distribution whose mgf is (0.4et+0.6)8 |
| A. | 1.92, |
| B. | 0.92, |
| C. | 0.24, |
| D. | 7.86 |
| Answer» A. 1.92, | |
| 31. |
The standard deviation of the sampling distribution of a statistic is called |
| A. | Standard error, |
| B. | error, |
| C. | population deviation, |
| D. | population error |
| Answer» A. Standard error, | |
| 32. |
What is the standard error of x? |
| A. | Ϭ, |
| B. | Ϭ2 |
| C. | Ϭ/√n |
| D. | Ϭ2/n |
| Answer» C. Ϭ/√n | |
| 33. |
What is the necessary condition for an estimator‘t’ is unbiased |
| A. | t=0, |
| B. | E(t)=0, |
| C. | E(t)= ɵ, |
| D. | t= ɵ |
| Answer» C. E(t)= ɵ, | |
| 34. |
What is the condition that t1 is more efficient than t2 |
| A. | t1<t2, |
| B. | E (t1) <E (t2), |
| C. | V (t1) < V (t2), |
| D. | t1>t2) |
| Answer» C. V (t1) < V (t2), | |
| 35. |
The Rejected region in a statistical test is called ------------------------------ |
| A. | First type |
| B. | Second type |
| C. | critical |
| D. | none of these |
| Answer» C. critical | |
| 36. |
The estimator tn of parameter ɵ is consistent if tn converges to…………….. in probability |
| A. | ɵ2, |
| B. | ɵ, |
| C. | 0, |
| D. | 1 |
| Answer» B. ɵ, | |
| 37. |
A consistent estimator is unbiased if |
| A. | Small sample, |
| B. | large sample, |
| C. | finite sample , |
| D. | countable sample |
| Answer» B. large sample, | |
| 38. |
(V (t1) / V (t2) ) is called…………………… |
| A. | relative efficiency of t1 w.r.to t2 |
| B. | relative efficiency of t2 w.r.to t1 |
| C. | relative sufficiency of t1 w.r.to t2 |
| D. | relative sufficiency of t2 w.r.to t1 |
| Answer» B. relative efficiency of t2 w.r.to t1 | |
| 39. |
the hypothesis against the null hypothesis is called --------------------- |
| A. | zero |
| B. | test |
| C. | alternate |
| D. | none of these |
| Answer» C. alternate | |
| 40. |
probability of the test static falling in the critical region is called ----------- |
| A. | significance |
| B. | rejected |
| C. | statistical |
| D. | none of these |
| Answer» A. significance | |
| 41. |
In a normal distribution with mean µ and variance 1, t=1/nxi 2 is an unbiased estimator of ____________? |
| A. | Ø |
| B. | µ |
| C. | µ2 |
| D. | µ2+1 |
| Answer» D. µ2+1 | |
| 42. |
Sample mean is the consistent estimator of _____________? |
| A. | population mean |
| B. | Sample variance |
| C. | Population variance |
| D. | S.D |
| Answer» A. population mean | |
| 43. |
If ‘t’ is consistent estimator of Q ,Then t2 is the consistent estimator of __________ ? |
| A. | Q |
| B. | Q2 |
| Answer» B. Q2 | |
| 44. |
For the population f(x,µ)=1/ 2) |
| A. | Sample mean is not a consistent estimator, but sample median is a consistent estimator |
| B. | Sample median is not a consistent estimator, but sample mean is a consistent estimator |
| C. | Sample variance is not a consistent estimator, but population variance is a consistent estimator |
| D. | Sample variance is a consistent estimator, but population variance is not a consistent estimator |
| Answer» A. Sample mean is not a consistent estimator, but sample median is a consistent estimator | |
| 45. |
The kurtosis ᵝ2 =__________? |
| A. | µ4/µ2 |
| B. | µ4/µ1 |
| C. | µ4/µ22 |
| D. | µ4/µ12 |
| Answer» C. µ4/µ22 | |
| 46. |
At t=0,Mx (t)=___________? |
| A. | zero |
| B. | 1 |
| C. | -1 |
| D. | 2 |
| Answer» B. 1 | |
| 47. |
Which distribution is limiting case of binomial distribution as n->∞,p->0 |
| A. | Poisson |
| B. | normal |
| C. | uniform |
| D. | gamma |
| Answer» A. Poisson | |
| 48. |
In which distribution Mean=Median=Mode? |
| A. | Poisson |
| B. | normal |
| C. | uniform |
| D. | gamma |
| Answer» B. normal | |
| 49. |
Variance of k, where k is a constant is |
| A. | k2 |
| B. | k |
| C. | zero |
| D. | 1 |
| Answer» C. zero | |
| 50. |
Expectation of a constant k is |
| A. | zero |
| B. | 1 |
| C. | k |
| D. | k2 |
| Answer» C. k | |
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