UNIVERSIDAD UNIVERSIDAD TECNOLOGICA TECNOLOGICA DE HONDURA CAMPUS LA CEIBA
ASIGNATURA
:
ESTADISTICA
CATEDRÁTICO
:
DR. HECTOR A. CASTILLO CRUZ
CUENTA
:
201630020088
ALUMNA
:
OLGA ESPERANZA GARCIA COREA
TRABAJO
:
TEORIA DE LA PROBABILIDAD, MODULO
LA CEIBA ATLÁNTIDA, 0! DE DICIEMBRE DE 201" 201"
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TEORIA DE LA PROABILIDAD
INDICE
PORTADA................................................................................................................................................1 INDICE....................................................................................................................................................2 INTRODUCCION......................................................................................................................................3 PROBABILIDA.....................................................................................................................................!#12 CONCLUSION........................................................................................................................................13 BIOGRA$IA................ BIOGRA$IA.......................... .................... .................... .................... .................... .................... .................... .................... .................... ...........................................1! .................................1!
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TEORIA DE LA PROABILIDAD
INTRODUCCION
Una probabilidad es el Listado de todos los resultados de un experimento y la probabilidad asociada con cada resultado. En cualuier experimento aleatorio! los resultados se presentan al a"ar# as$! a %ste se le denomina &ariable aleatoria. Por e'emplo! lan"ar un dado cons(tuye un experimento) puede ocurrir cualuiera de los seis posibles resultados. Al*unos experimentos dan ori*en a resultados de $ndole cuan(ta(&a +como d,lares! peso o n-mero de nios/# otros dan ori*en a resultados de naturale"a cualita(&a +como el color o la a0liaci,n reli*iosa/. 1ariable aleatoria ue adopta s,lo &alores claramente claramente separados. Por l,*ica! si or*ani"a or*ani"a un con'unto de posibles &alores de una &ariable aleatoria en una distribuci,n de probabilidad! el resultado es una distribuci,n de probabilidad
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TEORIA DE LA PROABILIDAD
DESARROLLO DE LA TAREA
3. calcule calcule la media media y la &arian"a &arian"a de la si*uient si*uiente e distribuci, distribuci,n n de probabili probabilidad dad discret discreta. a.
x
P+x/
:
.2
3
.;
2
.
.3
2. Las tres tablas tablas si*uientes si*uientes muestran muestran &ariabl &ariables es aleatorias aleatorias y sus probabili probabilidades dades.. 4in embar*o! embar*o! s,lo una cons(tuye en realidad una distribuci,n de probabilidad. a. 56u7l de ellas es8 a/9
%
P&%'
(
.
3:
.
1(
.2
20
.;
b/9
%
P&%'
(
.3
10
.
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TEORIA DE LA PROABILIDAD
c/9
%
P&%'
(
.<
10
.
1(
.2
20
.;
b. 6on la distribuci,n de probabilidad correcta! calcule la probabilidad de ue x sea) 3/ Exactamente 3<. 2/ =o mayor ue 3:. / >ayor ue <.
. La in?ormaci, in?ormaci,n n ue si*ue represen representa ta el n-mero n-mero de llamadas llamadas diarias diarias al ser&icio de emer*enci emer*encia a por el ser&icio &oluntario de ambulancias de @alterboro! 6arolina del 4ur! durante los -l(mos <: d$as. En otras palabras! ubo 22 d$as en los ue se reali"aron 2 llamadas de emer*encia! y d$as en los ue se reali"aron reali"aron llamadas de emer*encia.
N)*+- + //*
$++45
0 1 2 3 ! T-/
C 3: 22 3 <:
a/ 6on&ierta esta in?ormaci,n sobre el n-mero de llamadas en una distribuci,n de probabilidad. b/ 56ons(tuye un e'emplo de distribuci,n de probabilidad discreta o con(nua8 c/ 56u7l es la media de la can(dad de llamadas de emer*encia al d$a8 d/ 56u7l es la des&iaci,n est7ndar de la can(dad de llamadas diarias8
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TEORIA DE LA PROABILIDAD
;. Bel Departmen Departmentt 4tore (ene (ene una &enta &enta especial especial este este 0n de semana. semana. Los cliente clientess ue re*istren re*istren car*os por compras de m7s de F<: en su tar'eta de cr%dito de Bel recibir7n una tar'eta especial de la loter$a de Bel. El cliente raspar7 la tar'eta! la cual indica la can(dad ue se retendr7 del total de compras. A con(nuaci,n aparecen la suma de precios y el porcenta'e del (empo ue se deducir7 del total de las compras.
S* + P+*5-
P-775/5
10 2( (0 100
.(0 .!0 .08 .02
a/ 56u7l es la can(dad media deducida de la compra total8 b/ 56u7l es la des&iaci,n est7ndar de la can(dad deducida del total de las compras8
<. 6alc 6alcul ule e la me medi dia a y la &ari &arian an"a "a y la des& des&ia iaci ci,n ,n est7 est7nd ndar ar de la si*u si*uie ient nte e dist distri ribu buci ci,n ,n de probabilidad discreta.
%
P&%'
2
.<
8
.
10
.2
G. 56u7les 56u7les de las si*uient si*uientes es &ariables &ariables aleato aleatorias rias son discre discretas tas y cu7les cu7les con(nuas8 con(nuas8 a/ El n-mero de cuentas abiertas por un &endedor en 3 ao. b/ El (empo ue transcurre entre el turno de cada cliente en un ca'ero autom7(co. c/ El n-mero de clientes en la est%(ca Bi* =ic. d/ La can(dad de combus(ble ue con(ene el tanue de *asolina de su autom,&il. autom,&il. e/ La can(dad de miembros del 'urado pertenecientes a una minor$a. ?/ La temperatura ambiente el d$a de oy.
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TEORIA DE LA PROABILIDAD
S-/5-4+ E9+55- 1
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TEORIA DE LA PROABILIDAD
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TEORIA DE LA PROABILIDAD
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TEORIA DE LA PROABILIDAD
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TEORIA DE LA PROABILIDAD
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TEORIA DE LA PROABILIDAD
CONCLUSION
La probabilidad cons(tuye un importante par7metro en la determinaci,n de las di&ersas casualidades obtenidas tras una serie de e&entos esperados dentro de un ran*o estad$s(co. A &eces podemos intuir si un suceso es m7s probable ue otro! o 5u% probabilidad ten*o de ue suceda8 4in embar*o emos comprobado ue a &eces la intuici,n no coincide con la &erdadera soluci,n! por eso la importancia de las matem7(cas. Debemos de tomar los puntos cla&e! tener el espacio maestral o un resultado ya esperado en una determinada posici,n y poder dar un &alor a ese e'emplo por lo cual cabe anali"ar cada paso a reali"ar para obtener un resultado m7s espec$0co y saber al*unas ecuaciones ue nos ayudan a dar las repuestas a ellos de una manera m7s r7pida y clara.
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TEORIA DE LA PROABILIDAD
BIOGRA$IA
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