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?