2. Write mean in term of moments?

A. µ1’,

B. µ2’,

C. µ2’- µ1’,

D. ( µ1’)2

Correct : A. µ1’,

3. V(ax+b)= ………………..

A. ax+b,

B. aV(x)+b,

C. a2V(x)+b,

D. a2V(x)

Correct : D. a2V(x)

4. The scatterness of observation is called ……………

A. Skewness,

B. Kurtosis,

C. Dispersion,

D. Mean

Correct : C. Dispersion,

5. For leptokurtic distribution

A. β2 < 3,

B. β2 > 3,

C. β2= 3,

D. β2= 0

Correct : B. β2 > 3,

6. Any measure calculated on the basis of population value is called ………

A. Parameter,

B. Statistic,

C. Sample,

D. Distribution

Correct : 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

Correct : C. V(x) + (E(x)-C)2,

8. The degree of relation between two variable is called

A. Correlation,

B. Regression,

C. Correlation Coefficient

Correct : B. Regression,

9. Correlation coefficient lies between …………

A. 0 & 1,

B. -1 & 1,

C. -1 & 0,

D. -∞ & ∞

Correct : B. -1 & 1,

10. If there is no relation between two variables correlation is called …………

A. Positive,

B. Zero,

C. Negative,

D. Normal

Correct : B. Zero,

11. What is the maximum value of probability?

A. 1

B. zero

C. -1

D. 2

Correct : B. zero

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)

Correct : D. P(A)+P(B)-P(A∩B)

13. In which distribution means variance coincide?

A. Binomial

B. Poisson

C. Uniform

D. Normal

Correct : B. Poisson

14. Binomial distribution is a ______ distribution?

A. Discrete

B. Continuous

C. Bivariate

Correct : A. Discrete

15. _____ distribution is a limiting case of binomial?

A. Normal

B. Poisson

C. Uniform

D. Gamma

Correct : B. Poisson

16. What is the mean of the binomial distribution?

A. n

B. p

C. np

D. npq

Correct : 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)

Correct : 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

Correct : D. eµt + t2 Ϭ2/2

19. Find variance in terms of moments?

A. µ2! ,

B. µ1! ,

C. (µ1!)2

D. µ2! - (µ1!)2

Correct : D. µ2! - (µ1!)2

20. If mean=median=mode in a distribution then which is called____________?

A. Binomial

B. Normal

C. Poisson

D. Uniform

Correct : 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

Correct : C. Dispersion,

22. ____________ =Q3-Q1/2

A. skewness,

B. Quartile deviation,

C. Mean deviation,

D. Range

Correct : B. Quartile deviation,

23. Mean deviation is least when calculated from ________________

A. Mean,

B. Median,

C. Mode,

D. S.D

Correct : B. Median,

24. If the varience is 256, then S.D is

A. 16,

B. 4,

C. 2,

D. 512

Correct : A. 16,

25. S.D is a measure of ____________dispersion

A. Relative,

B. absolute,

C. Negative,

D. None of these

Correct : B. absolute,

26. In a symmetrical distribution quartiles are equidistant from____________

A. Mean,

B. Median,

C. Mode,

D. S.D

Correct : B. Median,

27. In a negatively skewed distribution,

A. Mean=Median=Mode,

B. Mode<Median<Mode,

C. Mode<Median<Mean,

D. Mean<Median<Mode

Correct : D. Mean<Median<Mode

28. Karl Pearson coefficient of skewness does not depend on

A. Mean,

B. Median,

C. Mode,

D. First quartile

Correct : 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

Correct : 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

Correct : 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

Correct : A. Standard error,

32. What is the standard error of x?

A. Ϭ,

B. Ϭ2

C. Ϭ/√n

D. Ϭ2/n

Correct : 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

Correct : 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)

Correct : 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

Correct : 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

Correct : B. ɵ,

37. A consistent estimator is unbiased if

A. Small sample,

B. large sample,

C. finite sample ,

D. countable sample

Correct : 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

Correct : 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

Correct : 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

Correct : 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

Correct : D. µ2+1

42. Sample mean is the consistent estimator of _____________?

A. population mean

B. Sample variance

C. Population variance

D. S.D

Correct : A. population mean

43. If ‘t’ is consistent estimator of Q ,Then t2 is the consistent estimator of __________ ?

A. Q

B. Q2

Correct : 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

Correct : 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

Correct : C. µ4/µ22

46. At t=0,Mx (t)=___________?

A. zero

B. 1

C. -1

D. 2

Correct : B. 1

47. Which distribution is limiting case of binomial distribution as n->∞,p->0

A. Poisson

B. normal

C. uniform

D. gamma

Correct : A. Poisson

48. In which distribution Mean=Median=Mode?

A. Poisson

B. normal

C. uniform

D. gamma

Correct : B. normal

Quiznetik

Probability and Statistics | Set 1

1. What is E(ax+b)?

2. Write mean in term of moments?

3. V(ax+b)= ………………..

4. The scatterness of observation is called ……………

5. For leptokurtic distribution

6. Any measure calculated on the basis of population value is called ………

7. Give the suitable expression for E(x-c)2

8. The degree of relation between two variable is called

9. Correlation coefficient lies between …………

10. If there is no relation between two variables correlation is called …………

11. What is the maximum value of probability?

12. P (AUB) =?

13. In which distribution means variance coincide?

14. Binomial distribution is a ______ distribution?

15. _____ distribution is a limiting case of binomial?

16. What is the mean of the binomial distribution?

17. If A & B are independent events which of the following are true

18. What is the MGF of Normal distribution?

19. Find variance in terms of moments?

20. If mean=median=mode in a distribution then which is called____________?

21. The degree to which numerical data tend to spread about an average value is

22. ____________ =Q3-Q1/2

23. Mean deviation is least when calculated from ________________

24. If the varience is 256, then S.D is

25. S.D is a measure of ____________dispersion

26. In a symmetrical distribution quartiles are equidistant from____________

27. In a negatively skewed distribution,

28. Karl Pearson coefficient of skewness does not depend on

29. In a Binomial distribution varience is 4/3 and p(success) is 1/3 find mean?

30. Find the varience of the binomial distribution whose mgf is (0.4et+0.6)8

31. The standard deviation of the sampling distribution of a statistic is called

32. What is the standard error of x?

33. What is the necessary condition for an estimator‘t’ is unbiased

34. What is the condition that t1 is more efficient than t2

35. The Rejected region in a statistical test is called ------------------------------

36. The estimator tn of parameter ɵ is consistent if tn converges to…………….. in probability

37. A consistent estimator is unbiased if

38. (V (t1) / V (t2) ) is called……………………

39. the hypothesis against the null hypothesis is called ---------------------

40. probability of the test static falling in the critical region is called -----------

41. In a normal distribution with mean µ and variance 1, t=1/nxi 2 is an unbiased estimator of ____________?

42. Sample mean is the consistent estimator of _____________?

43. If ‘t’ is consistent estimator of Q ,Then t2 is the consistent estimator of __________ ?

44. For the population f(x,µ)=1/ 2)

45. The kurtosis ᵝ2 =__________?

46. At t=0,Mx (t)=___________?

47. Which distribution is limiting case of binomial distribution as n->∞,p->0

48. In which distribution Mean=Median=Mode?

49. Variance of k, where k is a constant is

50. Expectation of a constant k is