answer all questions with detailed explanation

3) X1, X2, ... are iid random variables having pdf fx (x) =3(1 - x)2 1(0, 1) (x) and In = n1/3(1 - max{ X1, . .., Xn}). Also, Vn = VTn. (a) Consider the sequence T1, T2, ... and give the pmf or the pdf of the limiting distribution. (b) Consider the sequence V1, V2, ... and give the pmf or the pdf of the limiting distribution