It's the latest Berkeley trend: raising chickens in a backyard co-op coop. (The chickens cluck with delight at that joke.) It turns out that Berkeley chickens have an unusual property: their weight is uniformly distributed. Let 1 , 2 , ... , , ... W 1 ,W 2 ,...,W n ,... be an infinite sequence of random variables each representing the weight of a chicken. (There are a lot of chickens in Berkeley). The W i are mutually independent. Each W i is uniformly distributed on [ 0 , ] [0,] where is a parameter that represents the maximum weight of a chicken. To study chickens, the City of Berkeley creates the following two estimators: = 1 = 1 2 Y n = n 1 i=1 n W i 2 for { 1 , 2 , 3... } n{1,2,3...} = Z n = Y n for { 1 , 2 , 3... } n{1,2,3...}