Let X Be a Continuous Random Variable with Density Function

Multiple Choice

Let X be a continuous random variable with density function $p ( X ) = \left\{ \begin{array} { l l } \frac { 1 } { 9 } X ( 4 - X ) & \text { if } 0 \leq \mathrm { X } \leq 3 \\0 & \text { otherwise }\end{array} \right.$ What is the mean of X?:

A) $\frac { 4 } { 9 }$
B) 1
C) $\frac { 3 } { 2 }$
D) $\frac { 2 } { 9 }$
E) $\frac { 2 } { 3 }$
F) $\frac { 1 } { 3 }$
G) $\frac { 7 } { 4 }$
H) $\frac { 9 } { 4 }$