Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Probability Distributions

Question:

For a probability distribution if $E(X^2)=0.80 $ and $E(X)=0.40 $, then then its standard deviation is ________ .

Options:

0.80

0.60

0.40

0.32

Correct Answer:

0.80

Explanation:

The correct answer is Option (1) → 0.80

for any random variable X, the variance is given by -

$σ^2=E(X)^2-[E(X)]^2$

$=0.80-(0.40)^2$

$=0.80-0.16=0.64$

$σ$, standard deviation = $\sqrt{0.64}=0.8$