4. Consider the dilute solution of question 3 from a slightly different perspective. (i) Let p1 be the probability that any particular lattice cell of the observation region is occupied, and let p0 = 1 191 be the probability that it is unoccupied. Calculate the average occupation (m) in terms of p1 and/or p0. You should then be able to write p1 very simply in terms of po and 11. (ii) The probability P011, n2, . . . , 71M) of nding the system in a particular conguration of the ob- servation volume (in which the values of n1, n2, . . . , n M are all specied) has the form p'f pb. Identify the exponents a and b in terms of N and M. (iii) Let W( N ) be the number of congurations of the observation volume when N solutes are present. Calculate the probability P(N) of observing a given value of N, in terms of m, W(N), M, and N. Chem 120B, Fall 2016 2