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?