A Discrete Random Variable X Can Assume Five Possible Values $\begin{array}{c|ccccc}x & 2 & 3 & 5 & 8 & 10 \\\hline p(x) & 0.10 & 0.20 & 0.30 & 0.30 & 0.10\end{array}$

Multiple Choice

A discrete random variable x can assume five possible values: 2, 3, 5, 8, 10. Its probability distribution is shown below. Find the standard deviation of the distribution. $\begin{array}{c|ccccc}x & 2 & 3 & 5 & 8 & 10 \\\hline p(x) & 0.10 & 0.20 & 0.30 & 0.30 & 0.10\end{array}$

A) $1.845$
B) $5.7$
C) $6.41$
D) $2.532$