Question 1: Let ( Y n , n 0 ) be a sequence of i.i.d. random variables, all uniform on [ 0 , 1 ] and
let X n = 1 ( Y n 1/ n ) . Show that X n 0 in probability but not almost surely..
Question 1- Let (Yn-n0) be a sequence of i-i-d- random variables- all.pdf
1. Question 1: Let ( Y n , n 0 ) be a sequence of i.i.d. random variables, all uniform on [ 0 , 1 ] and
let X n = 1 ( Y n 1/ n ) . Show that X n 0 in probability but not almost surely.