Given an arrival process with an average of one per unit of time, what is the probability that an arrival occurs in the first 2 time units?
2026-04-07 16:31:42.1775579502
I understand this is a Poisson distribution, but I am struggling on actually applying the information.
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Let $X \sim \text{Poisson}(1)$. Then we have that $\mathbb{P}(X=x) = \frac{e^{-1}}{x!}$. Can you see how to compute the answer?