1. The problem statement, all variables and given/known data We have an interval [0,1], which we divide into k equally sized subintervals and generate n observations. Lets call the number of observations which falls into interval k_i, X_i. What distribution does X_1 have? Now we define Y_i=X_i/n. Derive the Expected value, variance and standard deviation for Y_i? This is a homework assignment, so plz just guide me... dont give me the answers :) 2. Relevant equations 3. The attempt at a solution The distribution for X_1: The amount of observations in each interval should follow a normal distribution, no? But the number of observations in each interval will be discrete? If I could understand what distr. this is, I could solve for E(X_i^2) in the last expression? X_i=# of n that is in k_i. So, E(X_i)=n/k. E(Y_i)=E(X_i/n)=(1/n)(E(X_i))=1/k V(Y_i)=E((Y_i)^2)-(E(Y_i))^2=E((X_i/n)^2)-(1/k)^2=(1/n)^2*E(X_i^2)-1/k^2 ?????