Question

Consider the following statement: "The mean of a binomial distribution is 3 and variance is 4." Which of the following is correct regarding this statement?

• A. It is always true
• B. It is sometimes true
• C. It is never true
• D. No conclusion can be drawn

Answer 1

Answer: (C)

It is never true

Answer 2

Given, that np = 3 and npq = 4 where p is the probability of success in one trial and q is the probability of failure and n is the number of trials $\Rightarrow \, q = \frac{4}{3}$ and this is not possible. Thus , the given statement is never true.