For the Given Probability Density Function, Over the Stated Interval

Multiple Choice

For the given probability density function, over the stated interval, find the requested value.
- $f ( x ) = \left\{ \begin{array} { l l } \frac { 7 } { x ^ { 2 } } & 1 \leq x \leq \frac { 7 } { 6 } \\ 0 \quad & \text { Otherwise } \end{array} ; \right.$ Find the median.

A) $7 \ln \left( \frac { 7 } { 6 } \right)$
B) $\frac { 1 } { 2 }$
C) $\frac { 7 } { 12 }$
D) $\frac { 14 } { 13 }$