Find the Value of the Constant K So That the Given

Multiple Choice

Find the value of the constant k so that the given function in a probability density function for a random variable over the
specified interval.
- $f ( x ) = 6 e ^ { - 5 x }$ over $[ 0 , k ]$

A) $\frac { 1 } { 5 } \ln \frac { 5 } { 6 }$
B) $- \frac { 1 } { 5 } \ln \frac { 11 } { 6 }$
C) $\frac { 1 } { 5 } \ln 6$
D) $e ^ { - 5 x } \ln 6$