# 3.07 - Chapter3,Section7 TheHypergeometric Distributions...

This preview shows pages 1–4. Sign up to view the full content.

1 Chapter 3, Section 7 The  Hypergeometric  Distributions John J Currano, 02/09/2010

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
2 Binomial: sampling with replacement Hypergeometric: sampling without replacement Motivating example for Hypergeometric : Lot of N items, r defective and N – r non-defective Sample of size n is selected without replacement Y = the number of defective items in the sample Then: (a) Y = the number of defectives in the sample is nonnegative and cannot exceed r = the number of defectives in the lot, so 0 Y r . (b) n Y = the number of non-defectives in the sample is nonnegative and cannot exceed N – r = the number of non-defectives in the lot, so 0 n – Y N – r . N – r nondef. r def. choose n
r - - - - elsewhere , 0 0 and 0 with integer an is if , r N y n r y y n N y n r N y Binomial: sampling with replacement Hypergeometric: sampling without replacement Motivating example for Hypergeometric: Lot of N items, r defective and N – r non- defective Sample of size n is selected without replacement Y = the number of defective items in the sample Then: (c) The probability function of Y is N – r nondef. r

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 02/23/2011 for the course MATH 444 taught by Professor Any during the Fall '10 term at Roosevelt.

### Page1 / 9

3.07 - Chapter3,Section7 TheHypergeometric Distributions...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online