3.07 - Chapter3,Section7 TheHypergeometric Distributions...

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1 Chapter 3, Section 7 The  Hypergeometric  Distributions John J Currano, 02/09/2010
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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
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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
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This note was uploaded on 02/23/2011 for the course MATH 444 taught by Professor Any during the Fall '10 term at Roosevelt.

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3.07 - Chapter3,Section7 TheHypergeometric Distributions...

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