Statistics Canada provides data on the number of cases in adult criminal court by type of crime. In a recent year the average number of homicide cases was 6.83 per month.

a) What probability distribution is appropriate for modelling the number of cases per month? State your assumptions clearly.

b) During that year, what was the probability of getting fewer than three homicide cases in a given month?

c) Suppose that last month there were two homicide cases. What conclusion do you draw about last month?