Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Probability

Question:

If mean of Binomial distribution is 6 and variance is 2. Then the value of p, where p denotes probability of success is :

Options:

$\frac{2}{3}$

$\frac{2}{5}$

$\frac{3}{5}$

$\frac{1}{5}$

Correct Answer:

$\frac{2}{3}$

Explanation:

The correct answer is Option (1) → $\frac{2}{3}$

Mean $μ=np=6$

Variance $(σ^2)=npq=2$

So $\frac{σ^2}{μ}=\frac{npq}{np}=\frac{2}{6}⇒q=\frac{1}{3}⇒p=\frac{2}{3}$