Let $f ( x ) = 6 x ( 1 - x ) , 0 < x < 1$

Let $f ( x ) = 6 x ( 1 - x ) , 0 < x < 1$ be the probability density function of a random variable X. Find the median of the probability density function $f$ .

A) $\frac { 1 } { 3 }$
B) $\frac { 1 } { 6 }$
C) $\frac { 1 } { 2 }$
D) 1
E) 3
F) 6
G) 2
H) 0