The variance of the Binomial Distribution $B\left(5,\frac{1}{4}\right)$ is :
Answer & explanation
Correct answer: option 3
$X\sim B(5,\frac{1}{4})$
$\text{Variance}=npq$
$p=\frac{1}{4}$
$q=1-p=\frac{3}{4}$
$\text{Variance}=5\times\frac{1}{4}\times\frac{3}{4}$
$=\frac{15}{16}$
The variance is $\frac{15}{16}$.