1. Suppose X1, . .., Xn are iid random variables with common pdf 0(2.) 0-1 if 0 0. (a) Show that { fo(x), 0 > 0} is a one parameter exponential family of distributions. Identify T(X), as per standard notation, and derive its pdf. (b) Show that the joint distributions of X1, . .., Xn form an exponential family. Derive the pdf of S = ETT(Xi), with T(.) being as in (a)