1. The problem statement, all variables and given/known data What is the probability that the average of 150 random points from the interval (0,1) is within .02 of the midpoint of the interval? 2. Relevant equations 3. The attempt at a solution I need to determine P(.48<((X1....X150)/150)<.52). I think I need to compute the variance and ultimately work out the two limits to integrate using the standard integral for a normal distribution. However, I have no idea how to accomplish this.