Statistics and methodology

1:

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 : 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

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Option: A

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