Find the Standard Deviation of the Random Variable A) $6.86$ B) $4.45$

Multiple Choice

Find the standard deviation of the random variable.
-The random variable X is the number of houses sold by a realtor in a single month at the Sendsom's Real Estate office. Its probability distribution is given in the table. Round the answer to two decimal
Places. $\begin{array}{c|cccccccc}\text { Houses Sold (x) } & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 \\\hline \text { Probability } \mathrm{P}(\mathrm{x}) & 0.24 & 0.01 & 0.12 & 0.16 & 0.01 & 0.14 & 0.11 & 0.21\end{array}$

A) $6.86$
B) $4.45$
C) $2.62$
D) $2.25$