ࡱ>     !"#$%&'()*+,-./0123456789;<=F?@ABCDE:GHIJKLMNOPQRSRoot EntryFe@ Book B[CompObjhMBD0001D00BFkZgkZg  "$&'( FHoja de Microsoft Excel 5.0Biff5Excel.Sheet.59q4F!probabilidad!Imagen 5 FMicrosoft Equation 2.0 DS Equation Equation.2р7:?9?9 HipergeomtricaDe N objetos, MBD0001A0B2 FkZg6sZgMBD00009AA6 FkZgZgOle DCompObjZEquation Native Ole DCompObj ZEquation Native r tienen la propiedad "tal",si se seleccionan n objetos,  cual es la probabilidad de que y objetos tengan la propiedad "tal"?P(y)=ry()N-rn-y()Nn()2 Robjetos,4F!probabilidad!Imagen 4 FMicrosoft Equation 2.0 DS Equation Equation.2?x? ? probabilidad  binomial0!=14!=43215!=54321n!=n(n-1)(n-2)(n-3)...321C kn =n!k!(n-k)!p+q=1P (k) =C kn p k q (n-k) n=nmero de  eventosk=nmero de "exitos"p=probabilidad de un exitoq=probabilidad de un fracaso 4F!probabilidad!Imagen 2 FMicrosoft Equation 2.0 DS Equation Equation.2??? NORMALF(y)=e (y-m) 2 2s 2 s 2p  z=y-mOle !DCompObj #ZEquation Native %SummaryInformation(>2s  _Oh+'Oh+'0T2H111 2(202H2G1<#&^    qK'  ' qK-  "-q "- !qB 2 B 2 "A 2 LA 2  B 2 . 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Sergio De Los Santos&C&P&Rhttp://sergiman.tripod.com&M&d2?'M&d2?(M&d2?)M&d2?MHP DeskJet 520 Printer(,,A^}"d, `? `?U  ]< &x@A@@GPd@>G     o'  --  po  oo o "System--- .1  $`& &@&$ & MathType-  Times New Romanz- 2 @P8 2 P8 2 ;@P8 2 ;P8 2 ; P8 2 ;P8 2 @P8 2 P8 2  P8 2 P8 2 @P8 2 P8 2 @P8 2 P8 2 !@P8 2 !P8 2 ! P8 2 @P8 2 P8 2  P8 2 @P8 2 OP8 2 P8 2 @P8 2 !P8 2 P8 2 @P8 2 JP8 2 v P8Times New Romanf^- 2 ?A 2  A 2 A 2 tB 2 A 2 Z B 2 JA 2 B 2 A 2 tB 2 A 2 Z B 2 JA 2 B 2 A 2 8B 2  A 2 B 2 % A 2 % 8B 2 %  A 2 % B 2 A 2 8B 2 8 B 2 (A 2 B 2 SA 2 StB 2 L A 2 2A 2 B 2 (A 2 (B 2 LA 2  B 2 %   2 % 8 2 %  2 8 2  2 St 2  2   2   2 S 2 SHTime<s New Romanz- 2 1Times New RomanSy- 2 ~1 2 2t"t"<&Times New Romanz- 2 S$)i 2 Sh(i 2 S)i 2 (i 2 )i 2 $(i 2 /Y 2 v )i 2  (i 2  )i 2 V(i 2 /Y 2 )i 2 P(i 2 V)i 2 (i 2 /Y 2  )i 2 !(i 2 #)i 2 #(i 2 #/Y 2 #])i 2 "(i 2 "X)i 2 "(i 2 "R/Y 2 ",)i 2 $(i 2 $ /Y 2 $q )i 2 $ (i 2 $)i 2 $Q(i 2 $/Y 2 $)i 2 $K(i 2 $Q)i 2 $(i 2 $ /Y 2 $ ")i 2 $#(i 2 $%)iTimes New RomanSy- 2 . 2 X. 2 . 2 O. 2 O. 2 O. 2 !$. 2 !$. 2 !$.Symbol- 2 + 2 @+ 2 O= 2 O + 2 O+ 2 Or+ 2 $#e= 2 !$+ 2 !$+ 2 !$m+Symbol- 2 STimes New Romanz- 2 P8 2 O@P8 2 OJP8 2 O P8 2 O|P8 2 OvP8 2 OP8 2 O P8 2 $#@P8 2 !P8 2 !P8 2 !$EP8 2 !$ P8 2 !$wP8 2 !$qP8 2 !$P8 2 !$"P8Times New RomanSy- 2 SX 2 SA 2 A 2 A 2 2X 2  X 2 A 2 d<X 2 X 2 :A 2 X 2 0"Xn 2 #X 2 #A 2 "#X 2 "zA 2 "X 2 $A 2 $- X 2 $ X 2 $A 2 $_X 2 $X 2 $5A 2 $ X 2 $+$XnTimes New Romanz- 2 N 2 wn 2 #iG 2 G"iG 2 $r!nTimes New RomanSy- 2 1 2 R 1 2 32 2 2 2 G"1 2 $ 1 2 $M1 2 $.2 2 $2 & "System----'--'-- o--'`` @ @ @@` @ @/Pd@     o'  --  po  oo o "System--- .1  $`& &@&$ & MathType-  Times New Romanz- 2 @P8 2 P8 2 ;@P8 2 ;P8 2 ; P8 2 ;P8 2 @P8 2 P8 2  P8 2 P8 2 @P8 2 P8 2 @P8 2 P8 2 !@P8 2 !P8 2 ! P8 2 @P8 2 P8 2  P8 2 @P8 2 OP8 2 P8 2 @P8 2 !P8 2 P8 2 @P8 2 JP8 2 v P8Times New RomanN- 2 ?A 2  A 2 A 2 tB 2 A 2 Z B 2 JA 2 B 2 A 2 tB 2 A 2 Z B 2 JA 2 B 2 A 2 8B 2  A 2 B 2 % A 2 % 8B 2 %  A 2 % B 2 A 2 8B 2 8 B 2 (A 2 B 2 SA 2 StB 2 L A 2 2A 2 B 2 (A 2 (B 2 LA 2  B 2 % B 2 B 2 "A 2 LA 2  B 2 . A 2 SA 2 SX 2 S A 2 S X 2 S\A<Times New Romanz- 2 C 2 # xC 2 # C 2 # C 2 xC 2 C 2 C 2 QxC 2 <CTimes New RomanN- 2 ?(i 2 ?)i 2 t (i 2  )i 2 (i 2 F)i 2 (i 2 P )i 2  (i 2 ,)i 2 (i 2 )i 2 (i 2 F)i 2 (i 2 P )i 2  (i 2 ,)i 2 (i 2 )i 2 (i 2 )i 2 p (i 2 )i 2 % (i 2 % )i 2 % p (i 2 % )i 2 (i 2  )i 2 (i 2  )i 2  (i 2 )i 2 S(i 2 S )i 2 (i 2  )i 2  (i 2 )i 2 ((i 2 (/Y 2 ()i 2 (i 2  )i 2 %(i 2 % )i 2 (i 2 /Y 2 )i 2 (i 2  )i 2 (i 2  )i 2 S(i 2 S)i 2 S$(i 2 S )i 2 SP (iSymbol- 2 N= 2 - 2 ;N= 2 ;F + 2 ;"- 2 N= 2 F + 2 "- 2 = 2 = 2 != 2 ! - 2 = 2  - 2 = 2 = 2 = 2  +Symbol- 2 t 2  2 t 2  2 8 2  2 % 8 2 %  2 8 2  2 St 2  2   2   2 S 2 SHTime<s New Romanz- 2 1Times New RomanSy- 2 ~1 2 2t"t"<&Times New Romanz- 2 S$)i 2 Sh(i 2 S)i 2 (i 2 )i 2 $(i 2 /Y 2 v )i 2  (i 2  )i 2 V(i 2 /Y 2 )i 2 P(i 2 V)i 2 (i 2 /Y 2  )i 2 !(i 2 #)i 2 #(i 2 #/Y 2 #])i 2 "(i 2 "X)i 2 "(i 2 "R/Y 2 ",)i 2 $(i 2 $ /Y 2 $q )i 2 $ (i 2 $)i 2 $Q(i 2 $/Y 2 $)i 2 $K(i 2 $Q)i 2 $(i 2 $ /Y 2 $ ")i 2 $#(i 2 $%)iTimes New RomanSy- 2 . 2 X. 2 . 2 O. 2 O. 2 O. 2 !$. 2 !$. 2 !$.Symbol- 2 + 2 @+ 2 O= 2 O + 2 O+ 2 Or+ 2 $#e= 2 !$+ 2 !$+ 2 !$m+Symbol- 2 STimes New Romanz- 2 P8 2 O@P8 2 OJP8 2 O P8 2 O|P8 2 OvP8 2 OP8 2 O P8 2 $#@P8 2 !P8 2 !P8 2 !$EP8 2 !$ P8 2 !$wP8 2 !$qP8 2 !$P8 2 !$"P8Times New RomanSy- 2 SX 2 SA 2 A 2 A 2 2X 2  X 2 A 2 d<X 2 X 2 :A 2 X 2 0"Xn 2 #X 2 #A 2 "#X 2 "zA 2 "X 2 $A 2 $- X 2 $ X 2 $A 2 $_X 2 $X 2 $5A 2 $ X 2 $+$XnTimes New Romanz- 2 N 2 wn 2 #iG 2 G"iG 2 $r!nTimes New RomanSy- 2 1 2 R 1 2 32 2 2 2 G"1 2 $ 1 2 $M1 2 $.2 2 $2 & "System----'--'-- o--'p ]XZ@A@FGF (? 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Equation.2 "']4F  .1  /#&`#s/ & MathType -P PTimes New Roman-2  probabilid2  ad binomi 2 mal 2 %qn2 % nmero de p2 % eventos 2 (dk 2 ( =2 ( nmero de p 2 ("2 (exitos" 2 +qp 2 +=2 + probabilid2 + ad de un e 2 +xito 2 .q 2 .&=2 . probabilid2 . ad de un f2 .racaso 2 0 2 1 2 m 4 2 !4 2 3 2 2 2 L1 2 , 5 2 5 2 L4 2 !3 2 2 2 w1 2  1 2 2 2 #3 2 C3 2 2 2 "1 2 @q1 2 ! 2 w ! 2 ! 2 ! 2 ( 2 ) 2 V ( 2 ) 2 {( 2 ) 2 . 2 L. 2 . 2 M! 2 `I!( 2 `) 2 `q!Times New RomanC- 2 # (i 2 # )i 2 !(i 2 !b)iSymbol- 2 = 2 q = 2 v 2 ! 2  2  = 2  2  2 L 2 ! 2 = 2  2 - 2  2 n- 2  2 - 2  2 *<t 2 n 2 C! 2 Y= 2 ` - 2 @+ 2 @= 2 "F= 2 % =Symbol- 2 !-Times New Roman- 2 n 2 n 2 =n 2 n 2 3n 2 } CV 2 =n 2 `)k 2 `n 2 `k 2 @qp 2 @[q 2 " P8 2 "CV 2 "lp 2 "vqTimes New RomanC- 2  k 2  n 2 #T k 2 #Ik 2 !ln 2 !k 2 !.n 2 !k & "System-/EX/]Xx<@A@.G. |? 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ZD 2 \E 2 F 2 JG "Systemn-'- qKArialFo-qK "- -  32  qK  ---   o '   "- -  po  oo  o  "System- "- - .1  $`&    &@&$ & MathType "-   Times New RomanL- 2 @P8 2 P8 2 ;@P8 2 ;P8 2 ; P8 2 ;P8 2 @P8 2 P8 2  P8 2 P8 2 @P8 2 P8 2 @P8 2 P8 2 !@P8 2 !P8 2 !_Oh+'Oh+'0T2H111 2(202H2G1<#&^    qK'  ' qK-  "-q "- !q-""- !"-33- !3-DD- !D-UU- !U-ff- !f-ww- !w-- !-- !-- !-- !-- !-- !-- !-- !-- !-!!- !!-22- !2-CC- !C-TT- !T-ee- !e-K- !K-jj- !j-- !-  - ! -ZZ- !Z-- !-- !-JJ- !J-'- qK-   "-""K- !0"-33K- !03-DDK- !0D-UUK- !0U-ffK- !0f-wwK- !0w-K- !0-K- !0-K- !0-K- !0-K- !0-K- !0-K- !0-K- !0-K- !0-!!K- !0!-22K- !02-CCK- !0C-TTK- !0T-eeK- !0e-vvK- !0v-jwj- !ej-w- !e- w - !e -ZwZ- !eZ-w- !e-w- !e-JwJ- !eJ-'- qKArialFo-   2  -  "-- !-- !-- !-- !-- P8 2 @P8 2 P8 2  P8 2 @P8 2 OP8 2 P8 2 @P8 2 !P8 2 P8 2 @P8 2 JP8 2 v P8Times New RomanE- 2 ?A 2  A 2 A 2 tB 2 A 2 Z B 2 JA 2 B 2 A 2 tB 2 A 2 Z B 2 JA 2 B 2 A 2 8B 2  A 2 B 2 % A 2 % 8B 2 %  A 2 % B 2 A 2 8B 2 8 B 2 (A 2 B 2 SA 2 StB 2 L A 2 2A 2 B 2 (A 2 (B 2 LA 2  B 2 % B 2 B 2 "A 2 LA 2  B 2 . A 2 SA 2 SX 2 S A 2 S X 2 S\ATimes New RomanL- 2 C 2 # xC 2 # C 2 # C 2 xC 2 C 2 C 2 QxC 2 <CTimes New RomanE- 2 ?(i 2 ?)i 2 t (i 2  )i 2 (i 2 F)i 2 (i 2 P )i 2  (i 2 ,)i 2 (i 2 )i 2 (i 2 F)i 2 (i 2 P )i 2  (i 2 ,)i 2 (i 2 )i 2 (i 2 )i 2 p (i 2 )i 2 % (i 2 % )i 2 % p (i 2 % )i 2 (i 2  )i 2 (i 2  )i 2  (i 2 )i 2 S(i 2 S )i 2 (i 2  )i 2  (i 2 )i 2 ((i 2 (/Y 2 ()i 2 (i 2  )i 2 %(i 2 % )i 2 (i 2 /Y 2 )i 2 (i 2  )i 2 (i 2  )i 2 S(i 2 S)i 2 S$(i 2 S )i 2 SP (iSymbol- 2 N= 2 - 2 ;N= 2 ;F + 2 ;"- 2 N= 2 F + 2 "- 2 = 2 = 2 != 2 ! - 2 = 2  - 2 = 2 = 2 = 2  +Symbol- 2 t 2  2 t 2  2 8 2  2 % 8 2 %  2 8 2  2 St 2  2   2   2 S 2 SHTimes New RomanL- 2 1Times New RomanE- 2 ~1 2 2t"t"<&Times New RomanL- 2 S$)i 2 Sh(i 2 S)i 2 (i 2 )i 2 $(i 2 /Y 2 v )i 2  (i 2  )i 2 V(i 2 /Y 2 )i 2 P(i 2 V)i 2 (i 2 /Y 2  )i 2 !(i 2 #)i 2 #(i 2 #/Y 2 #])i 2 "(i 2 "X)i 2 "(i 2 "R/Y 2 ",)i 2 $(i 2 $ /Y 2 $q )i 2 $ (i 2 $)i 2 $Q(i 2 $/Y 2 $)i 2 $K(i 2 $Q)i 2 $(i 2 $ /Y 2 $ ")i 2 $#(i 2 $%)iTimes New RomanE- 2 . 2 X. 2 . 2 O. 2 O. 2 O. 2 !$. 2 !$. 2 !$.Symbol- 2 + 2 @+ 2 O= 2 O + 2 O+ 2 Or+ 2 $#e= 2 !$+ 2 !$+ 2 !$m+Symbol- 2 STimes New RomanL- 2 P8 2 O@P8 2 OJP8 2 O P8 2 O|P8 2 OvP8 2 OP8 2 O P8 2 $#@P8 2 !P8 2 !P8 2 !$EP8 2 !$ P8 2 !$wP8 2 !$qP8 2 !$P8 2 !$"P8Times New RomanE- 2 SX 2 SA 2 A 2 A 2 2X 2  X 2 A 2 dX 2 X 2 :A 2 X 2 0"Xn 2 #X 2 #A 2 "#X 2 "zA 2 "X 2 $A 2 $- X 2 $ X 2 $A 2 $_X 2 $X 2 $5A 2 $ X 2 $+$XnTimes New RomanL- 2 N 2 wn 2 #iG 2 G"iG 2 $r!nTimes New RomanE- 2 1 2 R 1 2 32 2 2 2 G"1 2 $ 1 2 $M1 2 $.2 2 $2 & "System-- - -'- -'--  o--  ' ---'--'--  qK-  3- - ' qK-   "-K- !K-q- !q-' FrmulasIng. 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