1 Bayes rule [30 points] Let N be a discrete random variable that takes values from the set {1, n} with equal prob- ability, i.e., Pr [N = 1] = Pr [N = n] = %. Consider the following process. 0 First we draw a value for N. 0 Then, we draw N iid uniform RV {Xi}z'=1,...,N in [0, 1]. Someone tells you the value Z = mini=1,___,N Xi = 0.05, namely the smallest value among the N uniform RVs drawn. However you do not know the value of N