﻿135:@0.918240:0.966765:0.943652:0.966765:0.943652:0.950778:0.918240:0.950778:0.000000:0.000000:0.000000
Se toma el conjunto formado por los :@0.553668:0.437235:0.846112:0.437235:0.846112:0.420737:0.553668:0.420737:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
elementos  {1,  2,  3},  y  se  forman  pares :@0.553668:0.454585:0.846095:0.454585:0.846095:0.438088:0.553668:0.438088:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ordenados que son el resultado de las :@0.553668:0.471936:0.846051:0.471936:0.846051:0.455438:0.553668:0.455438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
posibles combinaciones. Se obtiene el :@0.553668:0.489287:0.846108:0.489287:0.846108:0.472789:0.553668:0.472789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
espacio muestral de 9 elementos de la :@0.553668:0.506638:0.846114:0.506638:0.846114:0.490140:0.553668:0.490140:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siguiente forma::@0.553668:0.523988:0.666292:0.523988:0.666292:0.507491:0.553668:0.507491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.553668:0.548583:0.561547:0.548583:0.561547:0.532114:0.553668:0.532114:0.000000
 = {(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3), :@0.561547:0.548467:0.842646:0.548467:0.842646:0.531970:0.561547:0.531970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(3, 1), (3, 2), (3, 3)}.:@0.553668:0.565818:0.683458:0.565818:0.683458:0.549320:0.553668:0.549320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se define la variable aleatoria :@0.553668:0.590297:0.761807:0.590297:0.761807:0.573799:0.553668:0.573799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.553668:0.607764:0.563628:0.607764:0.563628:0.591295:0.553668:0.591295:0.000000
 = “suma de los dos números”.:@0.563628:0.607648:0.776123:0.607648:0.776123:0.591150:0.563628:0.591150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En un concurso de abrir puertas, se le en-:@0.553192:0.742104:0.841491:0.742104:0.841491:0.725606:0.553192:0.725606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tregan al participante 6 llaves, de las cua-:@0.553192:0.759454:0.841435:0.759454:0.841435:0.742957:0.553192:0.742957:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
les solo una corresponde a la cerradura :@0.553192:0.776805:0.845577:0.776805:0.845577:0.760308:0.553192:0.760308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la puerta. El concursante va eligiendo :@0.553192:0.794156:0.845619:0.794156:0.845619:0.777658:0.553192:0.777658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al azar y probando abrir la puerta. Se de-:@0.553192:0.811507:0.841452:0.811507:0.841452:0.795009:0.553192:0.795009:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fine la variable aleatoria discreta :@0.553192:0.828857:0.782313:0.828857:0.782313:0.812360:0.553192:0.812360:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.553192:0.846324:0.563152:0.846324:0.563152:0.829855:0.553192:0.829855:0.000000
 =  “número de llaves usadas”.:@0.562767:0.846208:0.771560:0.846208:0.771560:0.829711:0.562767:0.829711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9:@0.516713:0.432407:0.528135:0.432407:0.528135:0.411777:0.516713:0.411777:0.000000
Consideren:@0.162941:0.796061:0.250307:0.796061:0.250307:0.779115:0.162941:0.779115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la variable aleatoria  , cuya :@0.250309:0.795598:0.455351:0.795598:0.455351:0.779100:0.250309:0.779100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.399906:0.795714:0.409866:0.795714:0.409866:0.779245:0.399906:0.779245:0.000000
función de probabilidad está dada por la :@0.162941:0.812949:0.455326:0.812949:0.455326:0.796451:0.162941:0.796451:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siguiente tabla.:@0.162941:0.830300:0.268706:0.830300:0.268706:0.813802:0.162941:0.813802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7:@0.125989:0.790771:0.137411:0.790771:0.137411:0.770141:0.125989:0.770141:0.000000
10:@0.510530:0.737278:0.533374:0.737278:0.533374:0.716648:0.510530:0.716648:0.000000:0.000000
a):@0.522424:0.639158:0.536970:0.639158:0.536970:0.622443:0.522424:0.622443:0.000000:0.000000
 :@0.536970:0.638941:0.541112:0.638941:0.541112:0.622443:0.536970:0.622443:0.000000
Determinen:@0.546159:0.639404:0.639305:0.639404:0.639305:0.622458:0.546159:0.622458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la función de distribución.:@0.639307:0.638941:0.827835:0.638941:0.827835:0.622443:0.639307:0.622443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.522424:0.661786:0.538434:0.661786:0.538434:0.645071:0.522424:0.645071:0.000000:0.000000
 :@0.538435:0.661569:0.542577:0.661569:0.542577:0.645071:0.538435:0.645071:0.000000
Encuentren:@0.546159:0.662031:0.634720:0.662031:0.634720:0.645085:0.546159:0.645085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el valor esperado  ( ).:@0.634722:0.661569:0.795873:0.661569:0.795873:0.645071:0.634722:0.645071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
E X:@0.763296:0.661684:0.787165:0.661684:0.787165:0.645215:0.763296:0.645215:0.000000:0.000000:0.000000
c):@0.522424:0.684414:0.536758:0.684414:0.536758:0.667699:0.522424:0.667699:0.000000:0.000000
 :@0.536758:0.684197:0.540900:0.684197:0.540900:0.667700:0.536758:0.667700:0.000000
Calculen:@0.546159:0.684660:0.613202:0.684660:0.613202:0.667714:0.546159:0.667714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la :@0.613202:0.684197:0.633142:0.684197:0.633142:0.667700:0.613202:0.667700:0.000000:0.000000:0.000000:0.000000
Var X:@0.633142:0.684313:0.673791:0.684313:0.673791:0.667844:0.633142:0.667844:0.000000:0.000000:0.000000:0.000000:0.000000
( ) y la desviación típica.:@0.657878:0.684197:0.833055:0.684197:0.833055:0.667700:0.657878:0.667700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.522424:0.123132:0.536970:0.123132:0.536970:0.106417:0.522424:0.106417:0.000000:0.000000
  ¿Cuál es el valor de c?:@0.536970:0.122914:0.697199:0.122914:0.697199:0.106417:0.536970:0.106417:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.522424:0.145760:0.538434:0.145760:0.538434:0.129045:0.522424:0.129045:0.000000:0.000000
 :@0.538435:0.145543:0.542577:0.145543:0.542577:0.129046:0.538435:0.129046:0.000000
Escriban:@0.546159:0.146006:0.611659:0.146006:0.611659:0.129060:0.546159:0.129060:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la función de probabilidad.:@0.611659:0.145543:0.806022:0.145543:0.806022:0.129046:0.611659:0.129046:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c):@0.522424:0.168388:0.536758:0.168388:0.536758:0.151674:0.522424:0.151674:0.000000:0.000000
 :@0.536758:0.168171:0.540900:0.168171:0.540900:0.151673:0.536758:0.151673:0.000000
Determinen:@0.546159:0.168634:0.639305:0.168634:0.639305:0.151688:0.546159:0.151688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la función de distribución.:@0.639307:0.168171:0.827835:0.168171:0.827835:0.151673:0.639307:0.151673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d):@0.522424:0.191016:0.538626:0.191016:0.538626:0.174302:0.522424:0.174302:0.000000:0.000000
 :@0.538627:0.190800:0.542769:0.190800:0.542769:0.174302:0.538627:0.174302:0.000000
Calculen:@0.546159:0.191263:0.613202:0.191263:0.613202:0.174317:0.546159:0.174317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la esperanza, la varianza y la des-:@0.613202:0.190800:0.846447:0.190800:0.846447:0.174302:0.613202:0.174302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
viación típica.:@0.546159:0.208151:0.643466:0.208151:0.643466:0.191653:0.546159:0.191653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.522424:0.873812:0.536970:0.873812:0.536970:0.857098:0.522424:0.857098:0.000000:0.000000
 :@0.536970:0.873595:0.541112:0.873595:0.541112:0.857097:0.536970:0.857097:0.000000
Determinen:@0.546159:0.874057:0.639305:0.874057:0.639305:0.857112:0.546159:0.857112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la función de probabilidad.:@0.639307:0.873595:0.833670:0.873595:0.833670:0.857097:0.639307:0.857097:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.522424:0.896440:0.538434:0.896440:0.538434:0.879725:0.522424:0.879725:0.000000:0.000000
 :@0.538435:0.896224:0.542577:0.896224:0.542577:0.879726:0.538435:0.879726:0.000000
Calculen:@0.546159:0.896686:0.613202:0.896686:0.613202:0.879740:0.546159:0.879740:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la esperanza y la varianza del nú-:@0.613202:0.896224:0.847967:0.896224:0.847967:0.879726:0.613202:0.879726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mero de intentos si el concursante separa :@0.546159:0.913574:0.844343:0.913574:0.844343:0.897077:0.546159:0.897077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la llave que probó anteriormente.:@0.546159:0.930925:0.781964:0.930925:0.781964:0.914427:0.546159:0.914427:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Diversidad funcional :@0.164511:0.595125:0.313688:0.595125:0.313688:0.579653:0.164511:0.579653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el aula:@0.164511:0.608961:0.230650:0.608961:0.230650:0.593488:0.164511:0.593488:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Uno de los obstáculos que enfrenta una persona con :@0.118211:0.639791:0.456409:0.639791:0.456409:0.624728:0.118211:0.624728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
discapacidad es el miedo a sentirse desplazada y ex-:@0.118211:0.655633:0.439510:0.655633:0.439510:0.640570:0.118211:0.640570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cluida. Por ello, siempre muestra tu empatía con todos :@0.118211:0.671475:0.459863:0.671475:0.459863:0.656412:0.118211:0.656412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tus compañeros, así evitarás reproducir los prejuicios :@0.118211:0.687317:0.448727:0.687317:0.448727:0.672254:0.118211:0.672254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que existen en la sociedad.:@0.118211:0.703159:0.285578:0.703159:0.285578:0.688096:0.118211:0.688096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Trabajo colaborativo:@0.107887:0.568394:0.302123:0.568394:0.302123:0.547765:0.107887:0.547765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una  fundación  realiza  una  rifa de  soli-:@0.553192:0.267616:0.841485:0.267616:0.841485:0.251118:0.553192:0.251118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
daridad. Para ello, venden 500 boletos a :@0.553192:0.284967:0.845619:0.284967:0.845619:0.268469:0.553192:0.268469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un dólar cada uno. El primer premio es :@0.553192:0.302317:0.845596:0.302317:0.845596:0.285820:0.553192:0.285820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de $ 120; el segundo de $ 100; y hay tres :@0.553192:0.319668:0.845579:0.319668:0.845579:0.303170:0.553192:0.303170:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
premios más de $ 20 cada uno. Si una :@0.553192:0.337019:0.845627:0.337019:0.845627:0.320521:0.553192:0.320521:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
persona compra un boleto, ¿cuál es la es-:@0.553192:0.354370:0.841477:0.354370:0.841477:0.337872:0.553192:0.337872:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
peranza matemática de que gane?:@0.553192:0.371720:0.795065:0.371720:0.795065:0.355223:0.553192:0.355223:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8:@0.516239:0.262790:0.527661:0.262790:0.527661:0.242160:0.516239:0.242160:0.000000
Trabajen:@0.107742:0.753569:0.174957:0.753569:0.174957:0.736623:0.107742:0.736623:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 en equipo, :@0.174959:0.753106:0.257932:0.753106:0.257932:0.736609:0.174959:0.736609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
indaguen resuelvan:@0.257932:0.753569:0.419335:0.753569:0.419335:0.736623:0.257932:0.736623:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.329830:0.753106:0.345936:0.753106:0.345936:0.736609:0.329830:0.736609:0.000000:0.000000:0.000000
.:@0.419339:0.753323:0.422691:0.753323:0.422691:0.736609:0.419339:0.736609:0.000000
En tres granjas A, B y C tienen vacas. Se :@0.162941:0.133970:0.455425:0.133970:0.455425:0.117472:0.162941:0.117472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
define la variable aleatoria X como X = :@0.162941:0.151321:0.455328:0.151321:0.455328:0.134823:0.162941:0.134823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
”peso en kilogramos de las vacas de la :@0.162941:0.168671:0.455344:0.168671:0.455344:0.152174:0.162941:0.152174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
granja”.:@0.162941:0.186022:0.212376:0.186022:0.212376:0.169524:0.162941:0.169524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6:@0.125989:0.129142:0.137411:0.129142:0.137411:0.108513:0.125989:0.108513:0.000000
a):@0.132174:0.219987:0.146719:0.219987:0.146719:0.203273:0.132174:0.203273:0.000000:0.000000
 :@0.146720:0.219771:0.150862:0.219771:0.150862:0.203273:0.146720:0.203273:0.000000
Completa:@0.155909:0.220233:0.232045:0.220233:0.232045:0.203287:0.155909:0.203287:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la distribución de probabilidad :@0.232045:0.219771:0.469697:0.219771:0.469697:0.203273:0.232045:0.203273:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para las granjas A, B y C.:@0.155909:0.237121:0.325848:0.237121:0.325848:0.220624:0.155909:0.220624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.132174:0.254472:0.136316:0.254472:0.136316:0.237974:0.132174:0.237974:0.000000
Granja A:@0.155909:0.254472:0.219195:0.254472:0.219195:0.237974:0.155909:0.237974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.132174:0.323875:0.136316:0.323875:0.136316:0.307377:0.132174:0.307377:0.000000
Granja B:@0.155909:0.323875:0.216498:0.323875:0.216498:0.307377:0.155909:0.307377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.132174:0.393278:0.136316:0.393278:0.136316:0.376780:0.132174:0.376780:0.000000
Granja C:@0.155909:0.393278:0.218482:0.393278:0.218482:0.376780:0.155909:0.376780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.132174:0.475651:0.148183:0.475651:0.148183:0.458936:0.132174:0.458936:0.000000:0.000000
 :@0.148184:0.475434:0.152326:0.475434:0.152326:0.458936:0.148184:0.458936:0.000000
Calcula:@0.155909:0.475897:0.212857:0.475897:0.212857:0.458951:0.155909:0.458951:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la media de cada distribución.:@0.212857:0.475434:0.428547:0.475434:0.428547:0.458936:0.212857:0.458936:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.192221:0.279849:0.199310:0.279849:0.199310:0.264522:0.192221:0.264522:0.000000
i:@0.199239:0.282698:0.201444:0.282698:0.201444:0.273762:0.199239:0.273762:0.000000
2 000:@0.255669:0.279506:0.290480:0.279506:0.290480:0.264443:0.255669:0.264443:0.000000:0.000000:0.000000:0.000000:0.000000
3 000:@0.331904:0.279506:0.366715:0.279506:0.366715:0.264443:0.331904:0.264443:0.000000:0.000000:0.000000:0.000000:0.000000
4 000:@0.408139:0.279506:0.442950:0.279506:0.442950:0.264443:0.408139:0.264443:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.191360:0.301038:0.200120:0.301038:0.200120:0.285711:0.191360:0.285711:0.000000
i:@0.200083:0.303887:0.202288:0.303887:0.202288:0.294952:0.200083:0.294952:0.000000
0,5:@0.264059:0.300694:0.282089:0.300694:0.282089:0.285631:0.264059:0.285631:0.000000:0.000000:0.000000
0,2:@0.416547:0.300694:0.434576:0.300694:0.434576:0.285631:0.416547:0.285631:0.000000:0.000000:0.000000
x:@0.192958:0.349083:0.200047:0.349083:0.200047:0.333756:0.192958:0.333756:0.000000
i:@0.199978:0.351931:0.202182:0.351931:0.202182:0.342996:0.199978:0.342996:0.000000
2 000:@0.247020:0.348739:0.281831:0.348739:0.281831:0.333676:0.247020:0.333676:0.000000:0.000000:0.000000:0.000000:0.000000
3 000:@0.304363:0.348739:0.339174:0.348739:0.339174:0.333676:0.304363:0.333676:0.000000:0.000000:0.000000:0.000000:0.000000
4 000:@0.361707:0.348739:0.396518:0.348739:0.396518:0.333676:0.361707:0.333676:0.000000:0.000000:0.000000:0.000000:0.000000
5 000:@0.419050:0.348739:0.453861:0.348739:0.453861:0.333676:0.419050:0.333676:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.192086:0.369558:0.200846:0.369558:0.200846:0.354231:0.192086:0.354231:0.000000
i:@0.200822:0.372405:0.203027:0.372405:0.203027:0.363469:0.200822:0.363469:0.000000
0,2:@0.255411:0.369213:0.273441:0.369213:0.273441:0.354150:0.255411:0.354150:0.000000:0.000000:0.000000
0,4:@0.370116:0.369213:0.388146:0.369213:0.388146:0.354150:0.370116:0.354150:0.000000:0.000000:0.000000
0,3:@0.427459:0.369213:0.445489:0.369213:0.445489:0.354150:0.427459:0.354150:0.000000:0.000000:0.000000
x:@0.171336:0.417764:0.178425:0.417764:0.178425:0.402437:0.171336:0.402437:0.000000
i:@0.178355:0.420614:0.180560:0.420614:0.180560:0.411678:0.178355:0.411678:0.000000
2 000:@0.201524:0.417421:0.236334:0.417421:0.236334:0.402358:0.201524:0.402358:0.000000:0.000000:0.000000:0.000000:0.000000
3 000:@0.256246:0.417421:0.291057:0.417421:0.291057:0.402358:0.256246:0.402358:0.000000:0.000000:0.000000:0.000000:0.000000
4 000:@0.310969:0.417421:0.345780:0.417421:0.345780:0.402358:0.310969:0.402358:0.000000:0.000000:0.000000:0.000000:0.000000
5 000:@0.365691:0.417421:0.400502:0.417421:0.400502:0.402358:0.365691:0.402358:0.000000:0.000000:0.000000:0.000000:0.000000
6 000:@0.420414:0.417421:0.455225:0.417421:0.455225:0.402358:0.420414:0.402358:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.170513:0.438953:0.179272:0.438953:0.179272:0.423626:0.170513:0.423626:0.000000
i:@0.179200:0.441802:0.181404:0.441802:0.181404:0.432866:0.179200:0.432866:0.000000
0,2:@0.209915:0.438610:0.227945:0.438610:0.227945:0.423547:0.209915:0.423547:0.000000:0.000000:0.000000
0,4:@0.264638:0.438610:0.282667:0.438610:0.282667:0.423547:0.264638:0.423547:0.000000:0.000000:0.000000
0,1:@0.319360:0.438610:0.337390:0.438610:0.337390:0.423547:0.319360:0.423547:0.000000:0.000000:0.000000
0,05:@0.424918:0.438610:0.450705:0.438610:0.450705:0.423547:0.424918:0.423547:0.000000:0.000000:0.000000:0.000000
x:@0.156267:0.867030:0.163356:0.867030:0.163356:0.851703:0.156267:0.851703:0.000000
i:@0.163286:0.869879:0.165491:0.869879:0.165491:0.860943:0.163286:0.860943:0.000000
–10:@0.210656:0.866687:0.235756:0.866687:0.235756:0.851624:0.210656:0.851624:0.000000:0.000000:0.000000
–5 :@0.283865:0.866687:0.304991:0.866687:0.304991:0.851624:0.283865:0.851624:0.000000:0.000000:0.000000
0:@0.357990:0.866687:0.365747:0.866687:0.365747:0.851624:0.357990:0.851624:0.000000
5:@0.427329:0.866687:0.435087:0.866687:0.435087:0.851624:0.427329:0.851624:0.000000
p:@0.155423:0.884457:0.164183:0.884457:0.164183:0.869129:0.155423:0.869129:0.000000
i:@0.164131:0.887305:0.166336:0.887305:0.166336:0.878369:0.164131:0.878369:0.000000
c:@0.219926:0.884218:0.226487:0.884218:0.226487:0.869181:0.219926:0.869181:0.000000
2:@0.285379:0.884112:0.293136:0.884112:0.293136:0.869049:0.285379:0.869049:0.000000
c:@0.293136:0.884218:0.299697:0.884218:0.299697:0.869181:0.293136:0.869181:0.000000
3:@0.354719:0.884112:0.362476:0.884112:0.362476:0.869049:0.354719:0.869049:0.000000
c:@0.362476:0.884218:0.369037:0.884218:0.369037:0.869181:0.362476:0.869181:0.000000
4:@0.424058:0.884112:0.431816:0.884112:0.431816:0.869049:0.424058:0.869049:0.000000
c:@0.431816:0.884218:0.438377:0.884218:0.438377:0.869181:0.431816:0.869181:0.000000
0,24:@0.553190:0.390433:0.570381:0.390433:0.570381:0.380391:0.553190:0.380391:0.000000:0.000000:0.000000:0.000000
0,3:@0.345991:0.305019:0.358011:0.305019:0.358011:0.294977:0.345991:0.294977:0.000000:0.000000:0.000000
0,1:@0.316898:0.366160:0.328917:0.366160:0.328917:0.356118:0.316898:0.356118:0.000000:0.000000:0.000000
0,25:@0.377020:0.443399:0.394212:0.443399:0.394212:0.433356:0.377020:0.433356:0.000000:0.000000:0.000000:0.000000
μ:@0.183271:0.492589:0.190382:0.492589:0.193441:0.482155:0.186329:0.482155:0.000000
μ:@0.183267:0.508017:0.190379:0.508017:0.193437:0.497583:0.186326:0.497583:0.000000
μ:@0.183263:0.523445:0.190375:0.523445:0.193433:0.513012:0.186322:0.513012:0.000000
(:@0.192781:0.494233:0.150667:0.494233:0.150667:0.480878:0.192781:0.480878:0.000000
):@0.239006:0.494233:0.196892:0.494233:0.196892:0.480878:0.239006:0.480878:0.000000
(:@0.192781:0.509664:0.151642:0.509664:0.151642:0.496309:0.192781:0.496309:0.000000
):@0.238031:0.509664:0.196892:0.509664:0.196892:0.496309:0.238031:0.496309:0.000000
(:@0.192781:0.525095:0.150346:0.525095:0.150346:0.511740:0.192781:0.511740:0.000000
):@0.239327:0.525095:0.196892:0.525095:0.196892:0.511740:0.239327:0.511740:0.000000
=:@0.244902:0.492589:0.251681:0.492589:0.251681:0.482155:0.244902:0.482155:0.000000
=:@0.243915:0.508017:0.250693:0.508017:0.250693:0.497583:0.243915:0.497583:0.000000
=:@0.245211:0.523445:0.251989:0.523445:0.251989:0.513012:0.245211:0.513012:0.000000
Granja:@0.197331:0.492135:0.228333:0.492135:0.228333:0.481636:0.197331:0.481636:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.228333:0.492135:0.230482:0.492135:0.230482:0.481636:0.228333:0.481636:0.000000
2 700:@0.253372:0.492135:0.279102:0.492135:0.279102:0.481636:0.253372:0.481636:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.259261:0.492135:0.261410:0.492135:0.261410:0.481636:0.259261:0.481636:0.000000
Granja:@0.197319:0.507563:0.228321:0.507563:0.228321:0.497064:0.197319:0.497064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.228321:0.507563:0.230469:0.507563:0.230469:0.497064:0.228321:0.497064:0.000000
3 800:@0.252384:0.507563:0.278115:0.507563:0.278115:0.497064:0.252384:0.497064:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.258274:0.507563:0.260422:0.507563:0.260422:0.497064:0.258274:0.497064:0.000000
Granja:@0.197319:0.522991:0.228321:0.522991:0.228321:0.512493:0.197319:0.512493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.228321:0.522991:0.230469:0.522991:0.230469:0.512493:0.228321:0.512493:0.000000
3 550:@0.253681:0.522991:0.279411:0.522991:0.279411:0.512493:0.253681:0.512493:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.259570:0.522991:0.261718:0.522991:0.261718:0.512493:0.259570:0.512493:0.000000
A:@0.232358:0.492135:0.238989:0.492135:0.238989:0.481821:0.232358:0.481821:0.000000
B:@0.231371:0.507563:0.237297:0.507563:0.237297:0.497250:0.231371:0.497250:0.000000
C:@0.231371:0.522991:0.238013:0.522991:0.238013:0.512678:0.231371:0.512678:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000