problem 4. set-up: let's go back to the simplest possible set-up for this exercise. you collect a random sample of articles penned by FZ and count how many times he uses the word and in each of the articles in your sample, (21, ...,2,). In this set-up, ; is the number of times the word and appeared in the i-th article, as before. question 4.1. (10 points) model: let X, denote the quantity that captures the number of times the word and appears in the i-th article. let's assume that the quantities X1, ...X, are independent and identically distributed (IID) according to a Poisson distribution with unknown parameter A, p(Xi = mi | A = >;) = Poisson(; | M) for i = 1, . ...n