Question: Let X NBin (r, p) with mass function (4.19) and define = r (1 p). Let r and p

Let X ∼ NBin (r, p) with mass function (4.19) and define λ = r (1 − p). Let r → ∞ and p → 1 such that λ stays constant. Show that X asy

∼ Poi(λ).

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