1. The problem statement, all variables and given/known data There is a box of volume V that is divided into two equal parts: Left side = V/2 = right side. The problem is: Assume that there are n = (Na/2) + k particles in the left hand partition where k is a small integer ( k << Na). Show that the behavior near the maximum where n = Na/2 is gaussian (i.e., quadratic in k). 2. Relevant equations Na = 6.022x1023 This is what I don't know. I don't know if I'm supposed to use the binomial distribution or the gaussian(normal) distribution. I'm in Thermal Physics because statistics was not a pre-req but we're using a lot of statistics and I've never had a course on it. So if anyone could help point me in the right direction of how to go about showing this, I would greatly appreciate it.