# Today I Learned

Some of the things I've learned every day since Oct 10, 2016

## 60: Closure of MIN on Exponential Random Variables

The minimum of random variables $E_1, E_2, ... , E_n$ with corresponding parameters $\lambda _1, \lambda _2, ... , \lambda _n$ is itself a random variable with parameter $\lambda = \sum _{i = 1} ^n \lambda _i$.

It is not, however, the case that the maximum is also exponentially distributed.