# 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 Answer Report Discuss 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 Click on Discuss to view users comments. Write your comments here:
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 Answer Report Discuss 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). Click on Discuss to view users comments. Write your comments here:
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 Answer Report Discuss 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). Click on Discuss to view users comments. Write your comments here:
84:

EBC DIC is an

 A. 64-bit code B. 32-bit code C. 16-bit code D. 8-bit code Answer Report Discuss Option: D Explanation : Click on Discuss to view users comments. Write your comments here:
85:

Bernoulli's rule probability indicated by