Let X denote the sum of the numbers obtained when two fair dice are rolled. Find the variance and standard deviation of X.

Question

$\begin{array}{1 1}Variance = 5.83, Standard\;Deviation = 2.41 \\ Variance = 7, Standard\; Deviation = 2.64 \\Variance = 6.91, Standard\; Deviation = 2.62 \\ Variance = 4.93, Standard\; Deviation = 2.22\end{array} $