Question: Consider a Poisson process with parameter = 8. (a) Consider an interval of length 0.5. What is the probability of obtaining exactly four events

Consider a Poisson process with parameter λ = 8.
(a) Consider an interval of length 0.5. What is the probability of obtaining exactly four events within this interval?
(b) What is the probability that the interval between two adjacent events is shorter than 0.2?

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