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The variance of the Binomial Distribution $B\left(5,\frac{1}{4}\right)$ is : |
$\frac{4}{5}$ $\frac{7}{8}$ $\frac{15}{16}$ $\frac{4}{7}$ |
$\frac{15}{16}$ |
$X\sim B(5,\frac{1}{4})$ $\text{Variance}=npq$ $p=\frac{1}{4}$ $q=1-p=\frac{3}{4}$ $\text{Variance}=5\times\frac{1}{4}\times\frac{3}{4}$ $=\frac{15}{16}$ The variance is $\frac{15}{16}$. |
