For the Given Probability Density Function, Over the Stated Interval $f ( x ) = \frac { 1 } { 3 } x ^ { 2 }$

Multiple Choice

For the given probability density function, over the stated interval, find the requested value.
- $f ( x ) = \frac { 1 } { 3 } x ^ { 2 }$ , over $[ - 2,4 ] ;$ Find the mean.

A) $\frac { 41 } { 2 }$
B) $\frac { 64 } { 3 }$
C) 20
D) $\frac { 62 } { 3 }$