The suicide rate in a certain state is 1 suicide per 100,000 inhabitants per month.

(a) Find the probability that in a city of 400,000 inhabitants within this state, there will be 5 or more suicides in a given month.

(b) What is the probability that there will be at least 2 months during the year that will have 5 or more suicides?

(c) Counting the present month as month number 1, what is the probability that the first month to have 5 or more suicides will be month number i (i 1)? What assumptions did you make?