Move stuff around so your formula looks like the derivative of P1(t) and take the limit as

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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 distribution 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.
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...
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