What is the gaussian distribution and what are the relevant parameters describing it?

What is the binomial distribution and what are the relevant parameters describing it?

$N$ particles can arrange on a lattice of $M$ cells. Only one particle can sit on a given cell. What is the total number of configurations for such a system given $N$ and $M$?

$N$ independent two level systems are thermalized at a given temperature $T$. What is the ratio between the average number of systems in the higher energy level and that on the lower?

What are the Bose-Einstein and Fermi-Dirac distributions.

What is the probability that, on a dice launch, I get the number 3 given that in the previous lauch I get the number 6?

What is the Maxwell-Boltzmann distribution?

What is the equipartition principle and when it holds?

What is the difference between isothermal and adiabatic transformation.

A damped harmonic oscillator of mass $m$ and oscillator characteristic frequency $\omega$ initially departs with initial velocity $v_0$ from the equilibrium position. After some time we found it at rest. What is the work done by the damping force on the system?