You are interested in studying the writing style of a popular Time Magazine contributor, FZ. You collect a simple random sample of his articles and count how many times he uses the word "however" in each of the articles in your sample, (x1,,xn). You also count the length of each article in your sample, (y1,,yn). In this set-up, xi is the number of times the word "however" appeared in the i-th article and yi is the total number of words in the i-th article.

Let Xi denote the quantity that captures the number of times the word "however" appears in the i-th article. Let's assume that the quantities X1,,Xn are independent and identically distributed (IID) according to a Poisson distribution with unknown parameter v.1000yi ,

p(Xi=xiyi,v,1000) = Poisson (xiv.1000yi) for i=1,,n.

• Explain the interpretation of1000yiin this model?
• Explain the interpretation ofvin this model?