Answer
Multiplication $e^{-cx}$ by $c$ produces a probability density density on $[0,\infty)$
Work Step by Step
$\int^\infty_0e^{-cx}dx$
=$\frac{1}{c}\lim\limits_{b \to \infty}(-e^{-bcx}+1)$=$\frac{1}{c}$
Multiplication $e^{-cx}$ by $c$ produces a probability density density on $[0,\infty)$
