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$$
\text { The variance of the following probability distribution is, }
$$
Options:
\text { The variance of the following probability distribution is, }
$$
Solution:
1713 Upvotes
Verified Answer
The correct answer is:
$\frac{3}{8}$
$$
\begin{aligned}
& \text { Variance }=\sum \mathrm{p}_{\mathrm{i}} \mathrm{x}_{\mathrm{i}}^2-\left(\sum \mathrm{p}_{\mathrm{i}} \mathrm{x}_{\mathrm{i}}\right)^2 \\
& =\frac{5}{8}-\left(\frac{1}{2}\right)^2=\frac{5}{8}-\frac{1}{4}=\frac{3}{8}
\end{aligned}
$$
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