(8 points.) Let X1, ... , Xn be independent and identically distributed (IID) random variables (RVs) with common cumulat
Posted: Mon Nov 15, 2021 9:53 am
(8 points.) Let X1, ... , Xn be independent and identically distributed (IID) random variables (RVs) with common cumulative distribution function (CDF) F(x) = P(X; < x) and probability density function (PDF) f(x) = de F(x), for any i E [n]. Define Xmin minje[n] Xi and Xmax maxie[n] Xį as the minimum and maximum of these RVs, respectively. Give an expression for the CDF of Xmin in terms of the CDF F and n and for the PDF of Xmin in terms of F, f, n; repeat for Xmax: = = .