Suppose X Hypergeometric (N, b, n). Show that if N, b, n approach in a way such that →p and Nb → 1 – p, then P(X = k) → (")p² (1 − p)”→k.

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Chapter1: Combinatorial Analysis
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Suppose X~ Hypergeometric (N, b, n). Show that if N, b, n approach ∞ in a way such
that
→ and
р
→ 1- p, then
N-b
N
P(X= k) →
(*) p² (1 − p)n-k.
Transcribed Image Text:Suppose X~ Hypergeometric (N, b, n). Show that if N, b, n approach ∞ in a way such that → and р → 1- p, then N-b N P(X= k) → (*) p² (1 − p)n-k.
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