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L12Hypergeometric

# L12Hypergeometric - MGT 2250 — Lesson 12 Discrete...

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Unformatted text preview: MGT 2250 — Lesson 12 Discrete Probability Distributions: Hypergeometric Distribution June 21, 2011 Distribution used when drawing from a PIN lTE population WITHOUT replacement. How it compares; to the binomial distribution: V/L) yfgﬂgm 35’? £31," {~pﬁﬁle%lf>g§),@(5) ‘L-We’i) QC} ’54:? fﬂ‘mf ﬁgmélrrw @Mﬁrr’wi“ / Q i5 QWLV Q €30?Qam§j BCi-g' Mﬂémcg W My” 9“) S” e F ‘ ;[email protected]§MT The m&ms example: M {£2 zNﬁﬁeWb» Hi: Wag” pageawv 5:, 532 j fiH‘WiZ ﬂégﬁ U.” M LS (ageing. 539": g [LAT-EA“ The hypergeometric formula: /* F - a R > . flaw, fat: 7.1 «3% (:5;- {afﬁf‘ﬁg 42’” {G I: “‘5 (ﬂJwa/gé 1 Q; Qeeﬁ’ueﬁrmﬁ ”'“ gjé’ryi 4 (PC . / ,8. ‘2 f5 “'3 #— mﬁ Svﬁﬁﬁéﬁ’Eé em :5 if!) 3 9.5.?“ {M [953%, LM kw, f ”enema (iii? 3/ .2 f f)“ {2’ 2 if ngiﬁueﬁfxgw .2 ‘ f4: 1%, 7% Mi @( l‘z( J if l 22' {5+1 53? iffﬂ} /ﬁ 23 g “2/ K‘KZ" 3K {NJ-WW” W me ( 2%; 19m)? Mix/ﬁg} ﬁzz’ a? Sea 5»ng Q / l 2%? we Emﬂﬂfjoé‘ 3' RE/ 1 3" /f?5 M.” V”? 75“ if é’ief'eimmﬁ Ll 13H} pewcvnlmlc 600x EV Ham /N)z% The m&ms example continu {Ofﬂxc A”... »’——<““* pergcoymtric (100}: W! Tigwmﬂ Wu 2 f 5mm“ ‘ J—«M‘M’Wﬂ H w j ,‘w 5’ w‘p’iw‘ g a; g ‘, (Way wow-Kr 5” TW“ M” ﬁx, ‘ g M. a twig My é a»: '5’ ‘‘‘‘ ‘R. g H” Wm Wm ‘‘‘‘‘ ”M”! g if V“ 5 f2? 5; y} “:2 , A, ‘ ,/. Mk? V 1 [— ix.) ExampleProblem: FL/ﬂ‘lf’) f M“ .m ( W 6"” Parts coming from a particular supplier have a record of 20% defective ones. A company receives a shipment of 10 items. In the inspection of the shipment, a sample will be selected and tested. If a defective item is found, the shipment will be rejected. a) If a sample of three (3) parts is selected, what is the probability that one (1) defective part will be found? Q 3.(”?\ Q5 EK WW ‘ ”wwwz’wm ; NW 1 {was E \ “Z j 2., ffjijwjfjiﬂl lyﬁ %Q b) If a sample ofthrec (3) parts is selected, what is the probability that i 1;: the shipment will be rejected? M} g "“i Axial; z} p 5:1 l (y Qi 3:; f E i w 3 WWW f e‘ , 5 QL\$\ Ruff) f @iCQwﬁlé :2 \$2 3} ﬁg! ‘12., 2% gwwnw‘ﬁwwm ”MW M r s, N ~~~~~~~~ Q) L E 31lypergeomen‘ic.docx ...
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