McqMate

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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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