Answer: Poisson distribution
Explanation:
The poisson distribution uses the relation :
p(x ; μ) =[(e^-μ) * (μ^x)] / x! ; WHERE
μ = Mean number of occurrences
x = number of Successes,
The events x are independent of one another and the probability or possibility of an event occur is the Same. The event also takes place with in a fixed or specified time interval. Hence, looking at the question, one can see that it meets all the conditions required for the definition of a poisson probability function.