# Exponential Distribution For $X \sim \text{Exp}(\lambda)$, $ P(X = x) = \lambda e^{-\lambda x}, \quad x \ge 0 $ in which $\lambda$ is the _rate parameter_ of the r.v., $\lambda > 0$. - Min of multiple exponential r.v.s is Exponential, by summing the rate parameters. - Max of multiple i.i.d. Exponential r.v.s - Consider which one finishes first? (min of the $n$) - Then by memoryless property, which finishes the second? (min of the $n - 1$) - And so on.