Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Probability Distributions

Question:

In a binomial distribution , the probability of getting success is $\frac{1}{5}$ and standard deviation is 4. Then, its mean is:

Options:

20

25

100

12

Correct Answer:

20

Explanation:

The correct answer is Option (1) → 20

In a Binomial Distribution, the standard deviation is

$σ=\sqrt{np(1-p)}$

$⇒4=\sqrt{n×0.2×(1-0.2)}$

$⇒16=n×0.2×0.8$

$⇒n=\frac{16}{0.2×0.8}=100$

$∴μ=np=0.2×100=20$