The Number of Vacancies at a Gulf Shore Resort Motel

Short Answer

The number of vacancies at a Gulf Shore resort motel on a day during weekends through the tourist season has the following probability distribution: $$\begin{array} { | c | c | } \hline \text { Number of Vacancies } & \text { Probability } \\\boldsymbol { x } & \boldsymbol { P } ( \boldsymbol { x } ) \\\hline 0 & 0.29 \\1 & 0.18 \\2 & 0.15 \\3 & 0.13 \\4 & 0.11 \\5 & 0.08 \\6 & 0.06 \\\hline\end{array}$$ If the mean is 2.07,compute the variance of this distribution.