Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Probability Distributions

Question:

In a binomial distribution, the probability of getting a success is $\frac{1}{3}$ and the standard deviation is 2. Then its mean is :

Options:

12

8

24

6

Correct Answer:

6

Explanation:

$p=\frac{1}{3},\;q=\frac{2}{3}.$

$\text{Standard deviation }=\sqrt{npq}=2.$

$npq=4.$

$n\cdot\frac{2}{9}=4.$

$n=18.$

$\text{Mean }=np=18\cdot\frac{1}{3}=6.$

$\text{Mean }=6.$