Use the Central Limit Theorem to extimate P[X1 + X2 +...+ X50 Solution Alright we are given that X1,...X100 are iid with uniform distribution on interval 0,1. So each will have: =1/2 and ^2=1/12 => (1/12) So knowing that we can use the Central Limit Theorem to simplify the statement: P(X1+....+X50.