The Random Variable X Is the Number of Houses Sold

Multiple Choice

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 as follows.Find the standard deviation of the number of houses sold. $$\begin{array} { c | c } \text { Houses Sold } ( \mathrm { x } ) & \text { Probability P(x) } \\\hline 0 & 0.24 \\\hline 1 & 0.01 \\\hline 2 & 0.12 \\\hline 3 & 0.16 \\\hline 4 & 0.01 \\\hline 5 & 0.14 \\\hline 6 & 0.11 \\\hline 7 & 0.21\end{array}$$

A) 6.86
B) 2.62
C) 1.62
D) 2.25
E) 4.45