39:@0.922460:0.966765:0.939432:0.966765:0.939432:0.950778:0.922460:0.950778:0.000000:0.000000 Con los antecedentes, la probabilidad condicional se puede escribir :@0.108233:0.096194:0.599973:0.096194:0.599973:0.079697:0.108233:0.079697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 como: :@0.108233:0.113545:0.156916:0.113545:0.156916:0.097047:0.108233:0.097047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p A B:@0.206679:0.148362:0.255651:0.148362:0.255651:0.131893:0.206679:0.131893:0.000000:0.000000:0.000000:0.000000:0.000000 ( | ) = = .:@0.215945:0.148246:0.497312:0.148246:0.497312:0.131749:0.215945:0.131749:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejercicio resuelto:@0.108233:0.190452:0.226211:0.190452:0.226211:0.173665:0.108233:0.173665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 En un estudio sociológico sobre el consumo de tabaco en hombres :@0.108233:0.207427:0.599861:0.207427:0.599861:0.190929:0.108233:0.190929:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y mujeres, se obtuvo el siguiente modelo probabilístico. Se designa al :@0.108233:0.224778:0.599879:0.224778:0.599879:0.208280:0.108233:0.208280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 hombre o mujer que fuma con ; y si no fuman, con .:@0.108233:0.242129:0.500358:0.242129:0.500358:0.225631:0.108233:0.225631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 F:@0.332941:0.242244:0.340493:0.242244:0.340493:0.225775:0.332941:0.225775:0.000000 Nf:@0.481320:0.242244:0.497599:0.242244:0.497599:0.225775:0.481320:0.225775:0.000000:0.000000 a):@0.108233:0.420032:0.122778:0.420032:0.122778:0.403317:0.108233:0.403317:0.000000:0.000000 ¿Cuál es la probabilidad condicional de que un hombre fume, :@0.122779:0.419815:0.599902:0.419815:0.599902:0.403317:0.122779:0.403317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 dado que una mujer fuma?:@0.131968:0.437165:0.324349:0.437165:0.324349:0.420668:0.131968:0.420668:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p HF MF:@0.253223:0.461760:0.323542:0.461760:0.323542:0.445291:0.253223:0.445291:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( | :@0.262490:0.461644:0.300712:0.461644:0.300712:0.445147:0.262490:0.445147:0.000000:0.000000:0.000000:0.000000:0.000000 ) = .:@0.323542:0.461644:0.450750:0.461644:0.450750:0.445147:0.323542:0.445147:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.108214:0.496347:0.112356:0.496347:0.112356:0.479849:0.108214:0.479849:0.000000 En la tabla busca la probabilidad de: ( :@0.131949:0.496347:0.448767:0.496347:0.448767:0.479849:0.131949:0.479849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p HF:@0.390233:0.496462:0.424429:0.496462:0.424429:0.479994:0.390233:0.479994:0.000000:0.000000:0.000000:0.000000 :@0.428577:0.496130:0.444625:0.496130:0.444625:0.481483:0.428577:0.481483:0.000000 MF:@0.448767:0.496462:0.471596:0.496462:0.471596:0.479994:0.448767:0.479994:0.000000:0.000000 ) = 0,35.:@0.471596:0.496347:0.527639:0.496347:0.527639:0.479849:0.471596:0.479849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.108214:0.513697:0.112356:0.513697:0.112356:0.497200:0.108214:0.497200:0.000000 Luego, la probabilidad de que sea mujer y fume. :@0.131949:0.513697:0.487332:0.513697:0.487332:0.497200:0.131949:0.497200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p MF:@0.257597:0.538292:0.295646:0.538292:0.295646:0.521823:0.257597:0.521823:0.000000:0.000000:0.000000:0.000000 (:@0.266864:0.538176:0.272817:0.538176:0.272817:0.521679:0.266864:0.521679:0.000000 ) = 0,35 + 0,23 = 0,58.:@0.295646:0.538176:0.446358:0.538176:0.446358:0.521679:0.295646:0.521679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.108214:0.562655:0.112356:0.562655:0.112356:0.546158:0.108214:0.546158:0.000000 Determinamos la probabilidad condicional de que un hombre :@0.131949:0.562655:0.599897:0.562655:0.599897:0.546158:0.131949:0.546158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 fume, dado que una mujer fuma.:@0.131949:0.580006:0.366292:0.580006:0.366292:0.563508:0.131949:0.563508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p HF MF:@0.201362:0.604601:0.271680:0.604601:0.271680:0.588132:0.201362:0.588132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( | :@0.210629:0.604485:0.248851:0.604485:0.248851:0.587987:0.210629:0.587987:0.000000:0.000000:0.000000:0.000000:0.000000 ) = = = 0,60.:@0.271680:0.604485:0.502594:0.604485:0.502594:0.587987:0.271680:0.587987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.108214:0.639186:0.112356:0.639186:0.112356:0.622688:0.108214:0.622688:0.000000 La probabilidad de que un hombre fume dado que una mujer :@0.131949:0.639186:0.599881:0.639186:0.599881:0.622688:0.131949:0.622688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 fuma es del 60 %.:@0.131949:0.656537:0.253821:0.656537:0.253821:0.640039:0.131949:0.640039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b):@0.108215:0.691455:0.124224:0.691455:0.124224:0.674741:0.108215:0.674741:0.000000:0.000000 ¿Cuál es la probabilidad de que una mujer fume, dado que el hom-:@0.124223:0.691238:0.595793:0.691238:0.595793:0.674741:0.124223:0.674741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 bre no fuma?:@0.131949:0.708589:0.225191:0.708589:0.225191:0.692091:0.131949:0.692091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p MF HNf:@0.242628:0.733184:0.321674:0.733184:0.321674:0.716715:0.242628:0.716715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (:@0.251895:0.733068:0.257848:0.733068:0.257848:0.716570:0.251895:0.716570:0.000000 | :@0.280677:0.733068:0.293970:0.733068:0.293970:0.716570:0.280677:0.716570:0.000000:0.000000:0.000000 ) = .:@0.321674:0.733068:0.461308:0.733068:0.461308:0.716570:0.321674:0.716570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.108195:0.767770:0.112337:0.767770:0.112337:0.751273:0.108195:0.751273:0.000000 En la tabla busca la probabilidad de: (:@0.131929:0.767770:0.405434:0.767770:0.405434:0.751273:0.131929:0.751273:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p MF:@0.390215:0.767886:0.428264:0.767886:0.428264:0.751417:0.390215:0.751417:0.000000:0.000000:0.000000:0.000000 :@0.428264:0.767770:0.452596:0.767770:0.452596:0.751273:0.428264:0.751273:0.000000:0.000000:0.000000 :@0.432406:0.767553:0.448454:0.767553:0.448454:0.752906:0.432406:0.752906:0.000000 HNf:@0.452596:0.767886:0.480299:0.767886:0.480299:0.751417:0.452596:0.751417:0.000000:0.000000:0.000000 ) = 0,23.:@0.480303:0.767770:0.536346:0.767770:0.536346:0.751273:0.480303:0.751273:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.108195:0.785121:0.112337:0.785121:0.112337:0.768623:0.108195:0.768623:0.000000 Luego, la probabilidad de que sea hombre y no fume es: :@0.131929:0.785121:0.544320:0.785121:0.544320:0.768623:0.131929:0.768623:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p HNf:@0.255131:0.809716:0.298054:0.809716:0.298054:0.793247:0.255131:0.793247:0.000000:0.000000:0.000000:0.000000:0.000000 (:@0.264397:0.809600:0.270350:0.809600:0.270350:0.793102:0.264397:0.793102:0.000000 ) = 0,23 + 0,22 = 0,45.:@0.298054:0.809600:0.448766:0.809600:0.448766:0.793102:0.298054:0.793102:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.108175:0.834079:0.112317:0.834079:0.112317:0.817581:0.108175:0.817581:0.000000 Determinamos la probabilidad condicional de que una mujer :@0.131911:0.834079:0.599879:0.834079:0.599879:0.817581:0.131911:0.817581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 fume, dado que el hombre no fuma.:@0.131911:0.851430:0.389347:0.851430:0.389347:0.834932:0.131911:0.834932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p MF HNf:@0.192808:0.876024:0.271854:0.876024:0.271854:0.859556:0.192808:0.859556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (:@0.202075:0.875909:0.208028:0.875909:0.208028:0.859411:0.202075:0.859411:0.000000 | :@0.230857:0.875909:0.244150:0.875909:0.244150:0.859411:0.230857:0.859411:0.000000:0.000000:0.000000 ) = = = 0,51.:@0.271854:0.875909:0.511051:0.875909:0.511051:0.859411:0.271854:0.859411:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.108156:0.910610:0.112298:0.910610:0.112298:0.894112:0.108156:0.894112:0.000000 La probabilidad de que una mujer fume, dado que el hombre no :@0.131891:0.910610:0.599759:0.910610:0.599759:0.894112:0.131891:0.894112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 fuma, es del 51 %.:@0.131891:0.927960:0.256959:0.927960:0.256959:0.911463:0.131891:0.911463:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p A:@0.284957:0.140851:0.311447:0.140851:0.311447:0.124382:0.284957:0.124382:0.000000:0.000000:0.000000 ( ):@0.294224:0.140735:0.350922:0.140735:0.350922:0.124238:0.294224:0.124238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.315589:0.140518:0.331637:0.140518:0.331637:0.125872:0.315589:0.125872:0.000000 B:@0.335779:0.140851:0.344969:0.140851:0.344969:0.124382:0.335779:0.124382:0.000000 p B:@0.302759:0.157190:0.327168:0.157190:0.327168:0.140721:0.302759:0.140721:0.000000:0.000000:0.000000 ( ):@0.312025:0.157074:0.333121:0.157074:0.333121:0.140576:0.312025:0.140576:0.000000:0.000000:0.000000 p HF:@0.352468:0.454572:0.386664:0.454572:0.386664:0.438103:0.352468:0.438103:0.000000:0.000000:0.000000:0.000000 ( :@0.361735:0.454456:0.410996:0.454456:0.410996:0.437958:0.361735:0.437958:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.390806:0.454239:0.406854:0.454239:0.406854:0.439592:0.390806:0.439592:0.000000 MF:@0.410996:0.454572:0.433825:0.454572:0.433825:0.438103:0.410996:0.438103:0.000000:0.000000 ):@0.433825:0.454456:0.439778:0.454456:0.439778:0.437958:0.433825:0.437958:0.000000 p MF:@0.374122:0.470910:0.412171:0.470910:0.412171:0.454441:0.374122:0.454441:0.000000:0.000000:0.000000:0.000000 (:@0.383389:0.470794:0.389342:0.470794:0.389342:0.454297:0.383389:0.454297:0.000000 ):@0.412171:0.470794:0.418124:0.470794:0.418124:0.454297:0.412171:0.454297:0.000000 p MF:@0.352853:0.726050:0.390902:0.726050:0.390902:0.709582:0.352853:0.709582:0.000000:0.000000:0.000000:0.000000 (:@0.362120:0.725935:0.368073:0.725935:0.368073:0.709437:0.362120:0.709437:0.000000 :@0.390902:0.725935:0.415234:0.725935:0.415234:0.709437:0.390902:0.709437:0.000000:0.000000:0.000000 :@0.395044:0.725718:0.411092:0.725718:0.411092:0.711071:0.395044:0.711071:0.000000 HNf:@0.415234:0.726050:0.442938:0.726050:0.442938:0.709582:0.415234:0.709582:0.000000:0.000000:0.000000 ):@0.442938:0.725935:0.448891:0.725935:0.448891:0.709437:0.442938:0.709437:0.000000 p HNf:@0.376434:0.742389:0.419357:0.742389:0.419357:0.725920:0.376434:0.725920:0.000000:0.000000:0.000000:0.000000:0.000000 (:@0.385700:0.742273:0.391653:0.742273:0.391653:0.725776:0.385700:0.725776:0.000000 ):@0.419357:0.742273:0.425310:0.742273:0.425310:0.725776:0.419357:0.725776:0.000000 p HF:@0.303397:0.597211:0.337593:0.597211:0.337593:0.580742:0.303397:0.580742:0.000000:0.000000:0.000000:0.000000 ( :@0.312663:0.597095:0.361925:0.597095:0.361925:0.580598:0.312663:0.580598:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.341735:0.596878:0.357783:0.596878:0.357783:0.582232:0.341735:0.582232:0.000000 MF:@0.361925:0.597211:0.384754:0.597211:0.384754:0.580742:0.361925:0.580742:0.000000:0.000000 ):@0.384754:0.597095:0.390707:0.597095:0.390707:0.580598:0.384754:0.580598:0.000000 p MF:@0.325051:0.613550:0.363100:0.613550:0.363100:0.597081:0.325051:0.597081:0.000000:0.000000:0.000000:0.000000 (:@0.334318:0.613434:0.340271:0.613434:0.340271:0.596936:0.334318:0.596936:0.000000 ):@0.363100:0.613434:0.369053:0.613434:0.369053:0.596936:0.363100:0.596936:0.000000 p MF:@0.303782:0.868620:0.341831:0.868620:0.341831:0.852151:0.303782:0.852151:0.000000:0.000000:0.000000:0.000000 (:@0.313049:0.868504:0.319002:0.868504:0.319002:0.852006:0.313049:0.852006:0.000000 :@0.341831:0.868504:0.366163:0.868504:0.366163:0.852006:0.341831:0.852006:0.000000:0.000000:0.000000 :@0.345973:0.868287:0.362021:0.868287:0.362021:0.853640:0.345973:0.853640:0.000000 HNf:@0.366163:0.868620:0.393866:0.868620:0.393866:0.852151:0.366163:0.852151:0.000000:0.000000:0.000000 ):@0.393866:0.868504:0.399819:0.868504:0.399819:0.852006:0.393866:0.852006:0.000000 p HNf:@0.327363:0.884958:0.370286:0.884958:0.370286:0.868489:0.327363:0.868489:0.000000:0.000000:0.000000:0.000000:0.000000 (:@0.336629:0.884843:0.342582:0.884843:0.342582:0.868345:0.336629:0.868345:0.000000 ):@0.370286:0.884843:0.376239:0.884843:0.376239:0.868345:0.370286:0.868345:0.000000 0,35:@0.419990:0.597095:0.448233:0.597095:0.448233:0.580598:0.419990:0.580598:0.000000:0.000000:0.000000:0.000000 0,58:@0.419990:0.613434:0.448233:0.613434:0.448233:0.596936:0.419990:0.596936:0.000000:0.000000:0.000000:0.000000 0,23:@0.428366:0.868504:0.456609:0.868504:0.456609:0.852006:0.428366:0.852006:0.000000:0.000000:0.000000:0.000000 0,45:@0.428366:0.884843:0.456609:0.884843:0.456609:0.868345:0.428366:0.868345:0.000000:0.000000:0.000000:0.000000 p A:@0.382460:0.140851:0.408949:0.140851:0.408949:0.124382:0.382460:0.124382:0.000000:0.000000:0.000000 ( ) × (:@0.391726:0.140735:0.449214:0.140735:0.449214:0.124238:0.391726:0.124238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p B | A:@0.433994:0.140851:0.482793:0.140851:0.482793:0.124382:0.433994:0.124382:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ):@0.482793:0.140735:0.488746:0.140735:0.488746:0.124238:0.482793:0.124238:0.000000 p B:@0.420412:0.157190:0.444821:0.157190:0.444821:0.140721:0.420412:0.140721:0.000000:0.000000:0.000000 ( ):@0.429679:0.157074:0.450774:0.157074:0.450774:0.140576:0.429679:0.140576:0.000000:0.000000:0.000000 Hombre (H):@0.132470:0.293658:0.215423:0.293658:0.215423:0.278397:0.132470:0.278397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Mujer (M):@0.322583:0.281380:0.393330:0.281380:0.393330:0.266119:0.322583:0.266119:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Total:@0.518905:0.293658:0.553153:0.293658:0.553153:0.278397:0.518905:0.278397:0.000000:0.000000:0.000000:0.000000:0.000000 F:@0.294756:0.305935:0.302443:0.305935:0.302443:0.290674:0.294756:0.290674:0.000000 Nf:@0.409161:0.305935:0.425467:0.305935:0.425467:0.290674:0.409161:0.290674:0.000000:0.000000 F:@0.172611:0.330292:0.180016:0.330292:0.180016:0.315229:0.172611:0.315229:0.000000 0,35:@0.285697:0.330292:0.311484:0.330292:0.311484:0.315229:0.285697:0.315229:0.000000:0.000000:0.000000:0.000000 0,20:@0.404412:0.330292:0.430199:0.330292:0.430199:0.315229:0.404412:0.315229:0.000000:0.000000:0.000000:0.000000 0,55:@0.523127:0.330292:0.548914:0.330292:0.548914:0.315229:0.523127:0.315229:0.000000:0.000000:0.000000:0.000000 Nf:@0.168319:0.354847:0.184308:0.354847:0.184308:0.339784:0.168319:0.339784:0.000000:0.000000 0,23:@0.285697:0.354847:0.311484:0.354847:0.311484:0.339784:0.285697:0.339784:0.000000:0.000000:0.000000:0.000000 0,22:@0.404412:0.354847:0.430199:0.354847:0.430199:0.339784:0.404412:0.339784:0.000000:0.000000:0.000000:0.000000 0,45:@0.523127:0.354847:0.548914:0.354847:0.548914:0.339784:0.523127:0.339784:0.000000:0.000000:0.000000:0.000000 Total:@0.159190:0.379601:0.193437:0.379601:0.193437:0.364339:0.159190:0.364339:0.000000:0.000000:0.000000:0.000000:0.000000 0,58:@0.285697:0.379403:0.311484:0.379403:0.311484:0.364339:0.285697:0.364339:0.000000:0.000000:0.000000:0.000000 0,42:@0.404412:0.379403:0.430199:0.379403:0.430199:0.364339:0.404412:0.364339:0.000000:0.000000:0.000000:0.000000 1,00:@0.523127:0.379403:0.548914:0.379403:0.548914:0.364339:0.523127:0.364339:0.000000:0.000000:0.000000:0.000000 Interdisciplinariedad:@0.684804:0.101949:0.831589:0.101949:0.831589:0.086477:0.684804:0.086477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Matemática e Historia:@0.685042:0.130999:0.840710:0.130999:0.840710:0.115526:0.685042:0.115526:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Pierre-Simon Laplace (1749-:@0.638498:0.146418:0.819058:0.146418:0.819058:0.131355:0.638498:0.131355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1827) introdujo la primera :@0.638498:0.162260:0.813025:0.162260:0.813025:0.147197:0.638498:0.147197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 definición explícita de probabi-:@0.638498:0.178102:0.841116:0.178102:0.841116:0.163039:0.638498:0.163039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 lidad y desarrolló la ley de dis-:@0.638498:0.193944:0.832534:0.193944:0.832534:0.178881:0.638498:0.178881:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 tribución normal como modelo :@0.638498:0.209786:0.849454:0.209786:0.849454:0.194723:0.638498:0.194723:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 para describir la variabilidad de :@0.638498:0.225628:0.842944:0.225628:0.842944:0.210565:0.638498:0.210565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 los errores de medida. En esta :@0.638498:0.241470:0.834395:0.241470:0.834395:0.226407:0.638498:0.226407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 época también hubo contribu-:@0.638498:0.257312:0.840674:0.257312:0.840674:0.242249:0.638498:0.242249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ciones importantes de matemá-:@0.638498:0.273154:0.846657:0.273154:0.846657:0.258091:0.638498:0.258091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ticos como Legendre (1752-:@0.638498:0.288996:0.819480:0.288996:0.819480:0.273933:0.638498:0.273933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1833) y Gauss (1777-1855) para :@0.638498:0.304838:0.846340:0.304838:0.846340:0.289775:0.638498:0.289775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 tratar de realizar predicciones :@0.638498:0.320680:0.833253:0.320680:0.833253:0.305617:0.638498:0.305617:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 del comportamiento de ciertos :@0.638498:0.336522:0.845336:0.336522:0.845336:0.321459:0.638498:0.321459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 fenómenos.:@0.638498:0.352364:0.714362:0.352364:0.714362:0.337301:0.638498:0.337301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p:@0.638503:0.557360:0.649984:0.557360:0.649984:0.547336:0.638503:0.547336:0.000000 :@0.649984:0.558068:0.652865:0.558068:0.652865:0.546591:0.649984:0.546591:0.000000 Pierre-Simon Laplace (1749-1827):@0.652865:0.558068:0.818217:0.558068:0.818217:0.546591:0.652865:0.546591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 El matemático ruso Andrei :@0.638503:0.585409:0.815686:0.585409:0.815686:0.570346:0.638503:0.570346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Kolmogorov dio un aporte sig-:@0.638503:0.601251:0.838500:0.601251:0.838500:0.586188:0.638503:0.586188:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 nificativo a la teoría de proba-:@0.638503:0.617093:0.832537:0.617093:0.832537:0.602030:0.638503:0.602030:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 bilidades con la axiomatización :@0.638503:0.632935:0.844604:0.632935:0.844604:0.617872:0.638503:0.617872:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de esta teoría.:@0.638503:0.648777:0.728721:0.648777:0.728721:0.633714:0.638503:0.633714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p:@0.638503:0.879038:0.649984:0.879038:0.649984:0.869014:0.638503:0.869014:0.000000 Andrei Kolmogorov (1903-1987):@0.649984:0.879746:0.813606:0.879746:0.813606:0.868269:0.649984:0.868269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Indaga responde:@0.638503:0.907509:0.766362:0.907509:0.766362:0.892037:0.638503:0.892037:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y :@0.686135:0.907087:0.700841:0.907087:0.700841:0.892024:0.686135:0.892024:0.000000:0.000000:0.000000 : ¿qué en-:@0.766365:0.907087:0.827436:0.907087:0.827436:0.892024:0.766365:0.892024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 tiendes por probabilidad?:@0.638503:0.922929:0.804198:0.922929:0.804198:0.907866:0.638503:0.907866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Shutterstock, 81841195:@0.871305:0.628273:0.871305:0.563427:0.859836:0.563427:0.859836:0.628273:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Wikimedia Commons:@0.867385:0.864281:0.867385:0.802799:0.855916:0.802799:0.855916:0.864281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ©:@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