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ESTADISTICA ANALISIS COMBINATORIO X PROBABILIDADES 2?2. $De ':n*"s !"ne+"s ,(+: es*4+se n" ,e+s(n"s qe *4ene (s ,"+es e V","*(s *+es ,"n*"l(nes '"*+( ,"+es e !e4" 7 '4n'( '"!4s"s/ A
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" <2 2>2. A n" +en45n "s4s*4e+(n =0 ,e+s(n"s s4 se s"l"n es*+e':n(se l"s !"n(s s,(n4en( qe '"" n( es '(+*es '(n 2?=. L" sele''45n e l(s !e)(+es "l!n(s e n" '"" n( e l(s e!:s. $C:n*(s Ins*4*'45n E'"*4" es*: '(n(+!"" ,(+ ",+e*(nes e !"n(s 4e+(n/ s4e*e "l!n(s. S4 se le *(!" n e"!en 4n"l " ?>0 >20 $':n*"s (,'4(nes 4s*4n*"s se *4ene ,"+" ' ?20 ?=> (',"+ l(s *+es ,+4!e+(s ,es*(s/ A 2<0 B 2?= 2>=. S(+e n" !es" se en'en*+"n <0 C ? > 9/ ' 20 ?> A B =0 2>?. $C:n*(s ,+('*(s 4e+en*es ,een C <2 D ?2 (+!"+se '(n l(s nú!e+(s ? > 7 K *(!"(s *+es " *+es/ " <0 <2 2?>. C(n '(ns(n"n*es 7 = ('"les $':n*"s '< > >. $C:n*(s '(!4*&s e = !4e!+(s se '(ns(n"n*es )n*"s. ,een eleg4+ e n g+,( e K ,e+s(n"s/ A >20 B 2<0 " > 2K C 20 D 2? ' <02 2? 2?. El nú!e+( e !"ne+"s en l"s qe se ,ee 2>. De n g+,( e K "l!n(s se ese" '(ne''4(n"+ n" "ne+" e +"n)" e *+es es'(ge+ n" '(!4s45n 4n*eg+"" ,(+ n '(l(+es s4 se *4ene *el" e '4n'( '(l(+es ,+es4en*e n *es(+e+( n se'+e*"+4(. $De 4s*4n*(s es# ':n*"s !"ne+"s 4e+en*es ,(+& A <0 B =0 es'(ge+l(s/ C >0 D 0 " =20 ==0 2?. $C:n*"s ,l"'"s ,"+" "*(!54les ,een ' == ?K0 "'e+se s4 '"" ,l"'" '(ns*" e 2 le*+"s 4e+en*es eg4"s e = g4*(s 4e+en*es/ 2>. En n" (4'4n" se +eq4e+en "(g"(s 1'(ns4e+"+ 2 le*+"s el "l"e*( se'+e*"+4"s 7 2 "!4n4s*+"(+es. $De A ?K 000 B ?K 000 ':n*"s !"ne+"s se ,een eleg4+ s4 se
,+esen*"n K "(g"(s << se'+e*"+4"s 7 > "!4n4s*+"(+es/ " 92 ?00 90 00 ' 90 K00 92 00 2>K. S4e*e '(++e(+es $De ':n*"s !"ne+"s 4e+en*es ,een (*ene+ = ,+e!4(s 4s*4n*(s/ " 2< <20 ' 2<0 <0 2>9. A n 'e+*"!en e elleV" se ,+esen*"+(n K '"n4"*"s R4'"+ ese" es'(ge+ " = e ell"s ,"+" qe +e,+esen*en " l"s '4"es e L4!" A+eq4," 7 P4+". $De ':n*"s !"ne+"s 4e+en*es l"s ,(+: es'(ge+/ " == =?0 ' 2?0 <20 20. Se *4enen <0 ,"n*"l(nes 4e+en*es l(s '"les se een '(l('"+ en n" (ls" s4 s(l"!en*e en*+"n ? ,"n*"l(nes en l" (ls" 7 '(n*"!(s ún4'"!en*e '(n n" $De ':n*"s !"ne+"s 4e+en*es se ,een e!(ls"+ ? ,"n*"l(nes/ " <20 2<0 ' 2<. D(n R4'"+ 7 s es,(s" M5n4'" (+g"n4V"+(n n" +en45n *en4en( '(!( 4n4*"(s " s s(+4n" M"7+" 7 s es,(s( L4s s 4)" R(s"+4( 7 s n(4( J"n 7 l(s e'4n(s e l" '"s"# J(s& Ale+*( 7 C"+!en ,(+ ene l" +en45n es*( '(ns*4*4" ,(+ > (!+es 7 ? !)e+es. $C:n*"s ,"+e)"s !4*"s se ,een (+!"+ '(n *((s l(s "s4s*en*es/ " 20 <> ' <
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b) 50 ') 160
c) 70
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Del s4g4en*e g+:4'( '"l'l"+#
S A N O S R E P #
29. $C:l es l" ,+("4l4" e qe s"lg"n 2 '"+"s/ 70
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50
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" =0 0
?0 e <00 120
140
160
' >0 180
200
ESTATURA 2K9. $C:n*"s ,e+s(n"s !4en en*+e <.20 6 <.?0 !*s./ " =0 ?0 ' >0 0 e <00
290. $C:n*"s ,e+s(n"s !4en en*+e <.?0 6 <.K0/ " <00 <20 ' 0 >0 e =0 29<. $C:l es el nú!e+( e ,e+s(n"s qe !4en en*+e <.0 6 2.00 !*s./ " ?0 >0 ' 0 90 e <00 292. $C:l es el *(*"l e ,e+s(n"s/ " 200
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