Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Probability

Question:

 A random variable X follows binomial distribution with mean α and variance β. Then which relation between α and β is correct?

Options:

0 < α < β

0 < β < α

α < 0 < β

β < 0 < α

Correct Answer:

0 < β < α

Explanation:

Suppose X = B(n.p) then 

$\alpha = np , \beta = npq$

As $0< q <1 , \text { we get }0 < npq < np$

$ \Rightarrow \alpha > \beta > 0$