Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Numbers, Quantification and Numerical Applications

Question:

Mean and Varaince of Binomial distribution $B\left(9,\frac{1}{3}\right)$ are :

Options:

3, 2

$3, \sqrt{2}$

$2, 3$

$9,\frac{1}{3}$

Correct Answer:

3, 2

Explanation:

The correct answer is Option (1) → 3, 2

for a binomial distribution,

$E(X)=np$

Variance (X) = $np(1-p)$

$E(X)=9×\frac{1}{3}=3$

$Var(X)=9×3×(1-\frac{1}{3})=2$