The suicide rate in a certain state is 1 suicide

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 8 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 8 or more suicides?
(c) Counting the present month as month number 1, what is the probability that the first month to have 8 or more suicides will be month number i, i ≥ 1?
What assumptions are you making?

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