Statistical thermodynamics - system of oscillators

[henryc09]

Homework Statement

A system of 10 oscillators, characterised by a $$\beta^$$ parameter of ln(3/2) is in equilibrium with a heat bath. Determine the probability that the system should possesses Q quanta.

Homework Equations

p(Q) proportional to e^(-Beta*Q)

The Attempt at a Solution

I have seen a similar question to work out the average <Q> for a system which is one oscillator, but I'm not sure how to attack this problem

 

[vela]

You said p(Q) is proportional to e^-βQ, which means p(Q)=Ne^-βQ. You should start by figuring out the normalization constant N.