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

question 84

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) \(\frac { 62 } { 3 }\)