1. The problem statement, all variables and given/known data The number of busy lines in a trunk group (Erlang system) is given by a truncated Poisson distribution. I am asked to generate values from this distribution by applying the Metropolis-Hastings algorithm. 2. Relevant equations The distribution is given in the attached picture. Let's just say n = 5. 3. The attempt at a solution I have used the book Simulation by Sheldon M. Ross. So I need some kind of probability matrix. This where it goes wrong, I have no idea how to choose that. Otherwise I need a start value and a proposal distribution. So I choose a start value of 3 and a standard normal distribution for the proposals distribution. But I cannot get started with proces because of no probability matrix.