Model 1: X is distributed as Poiss(λ) for some unknown λ>0. Model 2: X takes values in {1,2,3,4,5,6,≥7}, and for i=1,2,…7, we let pi denote the (unknown) probability that X=i. Here "≥7" is a placeholder for when the number of siblings is at least 7. For example, we do not distinguish between an individual having 7 siblings or 10 siblings in this model. Which one of the following best describes an advantage of using a Poisson distribution (Model 1) over the distribution in Model 2 to model X? A. It allows us to model the data continuously.
B. It allows individuals to have an arbitrarily large number of siblings.
C. It reduces the amount of unknowns needed for modeling.