Let X be a rv with distribution function FX(x). Find the distribution function of the following rv’s. a) The maximum of n IID rv’s, each with distribution function FX (x) . b) The minimum of n IID...

a) The maximum of n IID rv’s, each with distribution function FX_(x).

b) The minimum of n IID rv’s, each with distribution FX_(x).

c) The difference of the rv’s defined in a) and b); assume X has a density fX_(x).