Find the Median of the Exponential Probability Density Function $f ( t ) = \frac { 4 } { 5 } e ^ { - \frac { 4 t } { 5 } }$

Multiple Choice

Find the median of the exponential probability density function $f ( t ) = \frac { 4 } { 5 } e ^ { - \frac { 4 t } { 5 } }$ over the interval $[ 0 , \infty )$ .

A) 0.555
B) 0.693
C) 0.866
D) 0.485
E) 0.400