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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.

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.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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