Find the Standard Deviation $\sigma$ For the Following Probability Distribution A)2800
B)1

Multiple Choice

Find the standard deviation $\sigma$ for the following probability distribution. Round your answer to three decimal places. $$\begin{array} { l l l l c c } x & 1 & 2 & 3 & 4 & 5 \\P ( x ) & \frac { 2 } { 5 } & \frac { 1 } { 10 } & \frac { 1 } { 10 } & \frac { 1 } { 10 } & \frac { 3 } { 10 }\end{array}$$

A) 2.800
B) 1.720
C) 8.762
D) 2.960
E) 1.673