Classical

Statistics and methodology - Statistics and Methodology Multiple Choice Questions

81:  

Eight coins are tossed together and the occurrence of a head is termed a success. Write down the Binomial distribution of probabilities for the occurrence of 0, 1, 2....8 heads. What is the arithmetic mean and what is the variance of this distribution?

A.

2

B.

9

C.

3

D.

5

 
 

Option: A

Explanation :

P = 1/2, q = 1/2, n = 8

Mean = np

= 8 x 1/2 = 4

Variance (σ)2 = npq

or         8 x 1/2 x 1/2 = 2


82:  

Given

Mean Standard deviation

X series

Y series

18

100

14

40

Coefficient of correlation between X and Y series = +0.8.

Find the most probable value of Y if X is 70 and most probable value of X if Y is 90

A.

130.12

B.

159.30

C.

159.48

D.

130.36

 
 

Option: C

Explanation :

The find out value of X when Y = 90

To find out the value of Y when X = 70

 

Hence the answer is (c).


83:  

What is the probability of getting all the heads in four throws of a coin?

A.

1/13

B.

12/16

C.

11/16

D.

1/16

 
 

Option: D

Explanation :

The chance of getting head in the first throw

= 1/2

The chance of getting head in the second throw

= 1/2

The chance of getting head in the third throw

= 1/2

The chance of getting head in the fourth throw

= 1/2

Thus the probability of getting heads in all the throws

= (1/2) x (1/2) x (1/2) x (1/2) = 1/16

Hence the answer is (d).


84:  

EBC DIC is an

A.

64-bit code

B.

32-bit code

C.

16-bit code

D.

8-bit code

 
 

Option: D

Explanation :


85:  

Bernoulli's rule probability indicated by

A.

B.

C.

D.

 
 

Option: B

Explanation :




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