Probability and Statistics Solved MCQs

30
30.7k
1.

A. ax+b,
B. ax,
C. aE(x),
D. aE(x)+b
2.

A. µ1’,
B. µ2’,
C. µ2’- µ1’,
D. ( µ1’)2
3.

A. ax+b,
B. aV(x)+b,
C. a2V(x)+b,
D. a2V(x)
4.

A. Skewness,
B. Kurtosis,
C. Dispersion,
D. Mean
5.

A. β2 < 3,
B. β2 > 3,
C. β2= 3,
D. β2= 0
6.

A. Parameter,
B. Statistic,
C. Sample,
D. Distribution
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
8.

The degree of relation between two variable is called

A. Correlation
B. Regression
C. Correlation Coefficient
9.

A. 0 & 1,
B. -1 & 1,
C. -1 & 0,
D. -∞ & ∞
10.

A. Positive,
B. Zero,
C. Negative,
D. Normal
11.

A. 1
B. zero
C. -1
D. 2
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)
13.

A. Binomial
B. Poisson
C. Uniform
D. Normal
14.

A. Discrete
B. Continuous
C. Bivariate
15.

A. Normal
B. Poisson
C. Uniform
D. Gamma
16.

A. n
B. p
C. np
D. npq
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)
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.

A. µ2! ,
B. µ1! ,
C. (µ1!)2
D. µ2! - (µ1!)2
20.

A. Binomial
B. Normal
C. Poisson
D. Uniform
21.

A. Mean,
B. Average,
C. Dispersion,
D. Mode
22.

____________ =Q3-Q1/2

A. skewness,
B. Quartile deviation,
C. Mean deviation,
D. Range
23.

A. Mean,
B. Median,
C. Mode,
D. S.D
24.

A. 16,
B. 4,
C. 2,
D. 512
25.

A. Relative,
B. absolute,
C. Negative,
D. None of these
26.

A. Mean,
B. Median,
C. Mode,
D. S.D
27.

In a negatively skewed distribution,

A. Mean=Median=Mode,
B. Mode<Median<Mode,
C. Mode<Median<Mean,
D. Mean<Median<Mode
28.

Karl Pearson coefficient of skewness does not depend on

A. Mean,
B. Median,
C. Mode,
D. First quartile
29.

A. 2,
B. 4,
C. 6,
D. 8
30.

A. 1.92,
B. 0.92,
C. 0.24,
D. 7.86
31.

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

A. Standard error,
B. error,
C. population deviation,
D. population error
32.

A. Ϭ,
B. Ϭ2
C. Ϭ/√n
D. Ϭ2/n
33.

A. t=0,
B. E(t)=0,
C. E(t)= ɵ,
D. 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.

A. First type
B. Second type
C. critical
D. none of these
36.

A. ɵ2,
B. ɵ,
C. 0,
D. 1
37.

A consistent estimator is unbiased if

A. Small sample,
B. large sample,
C. finite sample ,
D. countable 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.

A. zero
B. test
C. alternate
D. none of these
40.

A. significance
B. rejected
C. statistical
D. none of these
41.

A. Ø
B. µ
C. µ2
D. µ2+1
42.

Sample mean is the consistent estimator of _____________?

A. population mean
B. Sample variance
C. Population variance
D. S.D
43.

A. Q
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.

A. µ4/µ2
B. µ4/µ1
C. µ4/µ22
D. µ4/µ12
46.

A. zero
B. 1
C. -1
D. 2
47.

A. Poisson
B. normal
C. uniform
D. gamma
48.

A. Poisson
B. normal
C. uniform
D. gamma
49.

A. k2
B. k
C. zero
D. 1
50.

A. zero
B. 1
C. k
D. k2