Suppose I have the following probability density function.
$f(x) = \begin{cases}ce^{-\frac x{200}}&\mathrm{\ if\ } 0
How do I find $c$? Currently, I have the following.
$\int_0^\infty ce^{-\frac x{200}}dx = 1$
$\lim_{x\to\infty} -200ce^{-\frac x{200}} + 200c = 1$
$c = \frac1{200}$
Is this right?