Find the Mean, Variance, and Standard Deviation of the Uniform $f ( x ) = \frac { 1 } { 18 }$

Multiple Choice

Find the mean, variance, and standard deviation of the uniform distribution $f ( x ) = \frac { 1 } { 18 }$ over the interval [0, 18] without using integration.

A) $\begin{array} { l l } \text { expected value (mean) : } & 9.000 \\\text { variance: } & 27.000 \\\text { standard deviation: } & 5.196\end{array}$
B) $\begin{array} { l l } \text { expected value (mean) : } & 27.000 \\\text { variance: } & 9.000 \\\text { standard deviation: } & 5.196\end{array}$
C) $\begin{array} { l l } \text { expected value (mean) : } & 27.000 \\\text { variance: } & 5.196 \\\text { standard deviation: } & 9.000\end{array}$
D) $\begin{array} { l l } \text { expected value (mean) } : & 5.196 \\\text { variance: } & 9.000 \\\text { standard deviation: } & 27.000\end{array}$
E) $\begin{array} { l l } \text { expected value (mean) } & 9.000 \\\text { variance: } & 5.196 \\\text { standard deviation: } & 27.000\end{array}$