Question: Move stuff around so your formula looks like the derivative of P1(t) and take the limit as t 0. The probabilities for the Poisson

Move stuff around so your formula looks like the derivative of P1(t) and take the limit as ∆t → 0.
The probabilities for the Poisson can be derived by solving differential equations. Let Pi (t) be the probability of exactly i events by time t, assuming an underlying rate of λ.

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