A Discrete Random Variable X Can Assume Five Possible Values

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. $$\begin{array} { c | c c c c c } \mathrm { x } & 2 & 3 & 5 & 8 & 10 \\\hline \mathrm { p } ( \mathrm { x } ) & 0.10 & 0.20 & 0.30 & 0.30 & 0.10\end{array}$$

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