Statistics And Probability Question 449

Question: The binomial distribution for which mean = 6 and variance = 2, is

Options:

A) $ {{( \frac{2}{3}+\frac{1}{3} )}^{6}} $

B) $ {{( \frac{2}{3}+\frac{1}{3} )}^{9}} $

C) $ {{( \frac{1}{3}+\frac{2}{3} )}^{6}} $

D) $ {{( \frac{1}{3}+\frac{2}{3} )}^{9}} $

Show Answer

Answer:

Correct Answer: D

Solution:

  •          $ np=6 $              $ npq=2\Rightarrow q=\frac{1}{3},p=\frac{2}{3} $  and  $ n=9. $                  Hence the binomial distribution is  $ {{( \frac{1}{3}+\frac{2}{3} )}^{9}}. $