2. Consider the following chemical reaction network with n different species, and the following reactions A11A2A21A2An11AnAn1A1 a) Suppose that there is initially one A1 molecule. Determine the equilibrium probability distribution - i.e. determine each of the following quantities for 1mn, limtP(Am(t)=1)limtP(Am(t)=0). Hint: Think about the symmetries in the definition of the chemical reaction network. b) Consider the following chemical reaction network with n+2 distinct species A11A2A21A2An11AnAn1A1An1BB12C Assume that initially A1=5 and B=2. Determine the equilibrium probabilities (hint: think about the symmetries, and which reactions cannot be reversed once they have taken place)