Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Probability Distributions

Question:

In a Binomial probability distribution if mean $=\frac{20}{3}$ and variance $=\frac{40}{9};$ then p =

Options:

$\frac{1}{3}$

$\frac{3}{4}$

$\frac{1}{2}$

$\frac{2}{3}$

Correct Answer:

$\frac{1}{3}$

Explanation:

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

Mean, $n×p=\frac{20}{3}$

Variance, $n×p×(1-p)=\frac{40}{9}$

$⇒\frac{20}{3}(1-p)=\frac{40}{9}$

$⇒1-p=\frac{2}{3}$

$⇒p=\frac{1}{3}$