Compute the Variance and Standard Deviation of a Discrete Random $\begin{array}{|c|c|c|c|c|c|}\hline x & 0 & 1 & 2 & 3 & 4 \\\hline P(x) & 0.02 & 0.07 & 0.22 & 0.27 & 0.42 \\\hline\end{array}$

Compute the Variance and Standard Deviation of a Discrete Random Variable
-A baseball player is asked to swing at pitches in sets of four. The player swings at 100 sets of 4 pitches. The probability distribution for hitting a particular number of pitches is given below. Determine the standard deviation for this discrete probability distribution. $\begin{array}{|c|c|c|c|c|c|}\hline x & 0 & 1 & 2 & 3 & 4 \\\hline P(x) & 0.02 & 0.07 & 0.22 & 0.27 & 0.42 \\\hline\end{array}$

A) $1.05$
B) $1.10$
C) $1.21$
D) $0.28$