Probability Question 71

Question: The mean and variance of a binomial distribution are 6 and 4. The parameter n is

[MP PET 2000]

Options:

A) 18

B) 12

C) 10

D) 9

Show Answer

Answer:

Correct Answer: A

Solution:

Given $ np=6,npq=4 $ \ $ \frac{npq}{np}=\frac{4}{6}\Rightarrow q=\frac{2}{3} $ and $ p=\frac{1}{3} $

$ \because $ $ np=6\Rightarrow n\times \frac{1}{3}=6 $

$ \Rightarrow n=18 $ .