194:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
Probabilidad y estadística:@0.073089:0.043661:0.304012:0.043661:0.304012:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una variable aleatoria es un valor numérico que corresponde a un resultado de un :@0.293660:0.240389:0.931026:0.240389:0.931026:0.224676:0.293660:0.224676:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
experimento aleatorio.:@0.293660:0.257031:0.457650:0.257031:0.457650:0.241318:0.293660:0.241318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición.:@0.293660:0.285821:0.377487:0.285821:0.377487:0.269151:0.293660:0.269151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Se le llama variable aleatoria a cualquier función definida en un espacio :@0.377616:0.285821:0.931122:0.285821:0.931122:0.270108:0.377616:0.270108:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
muestral ( ) con recorrido en un subconjunto finito o infinito de  .:@0.293660:0.302463:0.781968:0.302463:0.781968:0.286750:0.293660:0.286750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ω:@0.365780:0.303045:0.380101:0.303045:0.380101:0.285391:0.365780:0.285391:0.000000
ℝ:@0.765567:0.303045:0.778857:0.303045:0.778857:0.285391:0.765567:0.285391:0.000000
Tenemos, entonces, la función  ::@0.293660:0.331253:0.528831:0.331253:0.528831:0.315541:0.293660:0.315541:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.516646:0.331253:0.525702:0.331253:0.525702:0.314847:0.516646:0.314847:0.000000
donde   es un evento y   es una variable aleatoria.:@0.293660:0.360044:0.662501:0.360044:0.662501:0.344331:0.293660:0.344331:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
w:@0.345826:0.360044:0.358546:0.360044:0.358546:0.343637:0.345826:0.343637:0.000000
X:@0.472229:0.360044:0.481285:0.360044:0.481285:0.343637:0.472229:0.343637:0.000000
Por ejemplo, al lanzar una moneda al aire, tenemos dos eventos: que salga cara ( ) o que :@0.293660:0.388834:0.930916:0.388834:0.930916:0.373121:0.293660:0.373121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.866991:0.388834:0.876894:0.388834:0.876894:0.372428:0.866991:0.372428:0.000000
salga sello ( ). La variable aleatoria   se puede definir de la siguiente manera::@0.293660:0.405476:0.846001:0.405476:0.846001:0.389763:0.293660:0.389763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.376438:0.405476:0.384500:0.405476:0.384500:0.389070:0.376438:0.389070:0.000000
X:@0.543336:0.405476:0.552392:0.405476:0.552392:0.389070:0.543336:0.389070:0.000000
X w:@0.461497:0.434266:0.488004:0.434266:0.488004:0.417860:0.461497:0.417860:0.000000:0.000000:0.000000
( ) 1 si “sale cara”;  ( ) 0 si “sale sello”.:@0.470480:0.434266:0.759132:0.434266:0.759132:0.418553:0.470480:0.418553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.492735:0.434849:0.508068:0.434849:0.508068:0.417194:0.492735:0.417194:0.000000
X w:@0.611885:0.434266:0.638391:0.434266:0.638391:0.417860:0.611885:0.417860:0.000000:0.000000:0.000000
=:@0.643122:0.434849:0.658455:0.434849:0.658455:0.417194:0.643122:0.417194:0.000000
Las variables aleatorias se clasifican en discretas y continuas. En este texto, centraremos :@0.293642:0.463057:0.931302:0.463057:0.931302:0.447344:0.293642:0.447344:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nuestro estudio en las primeras.:@0.293642:0.479698:0.523657:0.479698:0.523657:0.463986:0.293642:0.463986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4.1 Variable aleatoria discreta:@0.293642:0.509501:0.524806:0.509501:0.524806:0.492554:0.293642:0.492554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición.:@0.293642:0.538291:0.377746:0.538291:0.377746:0.521622:0.293642:0.521622:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Una variable aleatoria discreta es aquella que solo puede tomar valores :@0.377929:0.538291:0.930516:0.538291:0.930516:0.522579:0.377929:0.522579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dentro de un conjunto finito o infinito numerable.:@0.293642:0.554933:0.655585:0.554933:0.655585:0.539221:0.293642:0.539221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4.2 Función de probabilidad:@0.293642:0.584736:0.514433:0.584736:0.514433:0.567789:0.293642:0.567789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea   la variable aleatoria discreta que toma los valores  ,   ,…  , se  define la función :@0.293642:0.613526:0.931085:0.613542:0.931085:0.597829:0.293642:0.597814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.323664:0.613526:0.332720:0.613526:0.332720:0.597120:0.323664:0.597120:0.000000
x x:@0.697092:0.613526:0.724599:0.613542:0.724599:0.597135:0.697092:0.597120:0.000000:0.000000:0.000000
1:@0.704500:0.616714:0.709737:0.616714:0.709737:0.607553:0.704500:0.607553:0.000000
2:@0.724540:0.616714:0.729777:0.616714:0.729777:0.607553:0.724540:0.607553:0.000000
x:@0.759862:0.613542:0.767317:0.613542:0.767317:0.597135:0.759862:0.597135:0.000000
n:@0.767247:0.616714:0.772784:0.616714:0.772784:0.607149:0.767247:0.607149:0.000000
de probabilidad   como::@0.293660:0.630183:0.471934:0.630183:0.471934:0.614471:0.293660:0.614471:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.413215:0.630183:0.422272:0.630183:0.422272:0.613777:0.413215:0.613777:0.000000
p X x:@0.538734:0.658974:0.588820:0.658974:0.588820:0.642568:0.538734:0.642568:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.549024:0.658974:0.553902:0.658974:0.553902:0.643261:0.549024:0.643261:0.000000
= =:@0.565020:0.659556:0.613933:0.659557:0.613933:0.641903:0.565020:0.641902:0.000000:0.000000:0.000000
i:@0.589875:0.662147:0.592085:0.662147:0.592085:0.652583:0.589875:0.652583:0.000000
):@0.592691:0.658975:0.597569:0.658975:0.597569:0.643262:0.592691:0.643262:0.000000
p:@0.614945:0.658975:0.624204:0.658975:0.624204:0.642569:0.614945:0.642569:0.000000
i:@0.625235:0.662147:0.627446:0.662147:0.627446:0.652583:0.625235:0.652583:0.000000
;   :@0.628051:0.658975:0.646440:0.658975:0.646440:0.643262:0.628051:0.643262:0.000000:0.000000:0.000000:0.000000
i:@0.647434:0.658975:0.651226:0.658975:0.651226:0.642569:0.647434:0.642569:0.000000
≥:@0.652257:0.659557:0.667590:0.659557:0.667590:0.641903:0.652257:0.641903:0.000000
1.:@0.668602:0.658975:0.681819:0.658975:0.681819:0.643262:0.668602:0.643262:0.000000:0.000000
Una vez que se han determinado las probabilidades asociadas a cada uno de los valores :@0.293647:0.687765:0.931423:0.687765:0.931423:0.672053:0.293647:0.672053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de una variable aleatoria discreta (v.a.d.), se organiza la información en una tabla con :@0.293647:0.704407:0.930536:0.704407:0.930536:0.688695:0.293647:0.688695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
todos los posibles valores y las correspondientes probabilidades.:@0.293647:0.721049:0.759908:0.721049:0.759908:0.705336:0.293647:0.705336:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Variables aleatoria discreta:@0.305864:0.759595:0.507639:0.759595:0.507639:0.742926:0.305864:0.742926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.543023:0.759595:0.550478:0.759595:0.550478:0.743189:0.543023:0.743189:0.000000
i:@0.551524:0.762768:0.553735:0.762768:0.553735:0.753203:0.551524:0.753203:0.000000
x:@0.599388:0.759595:0.606843:0.759595:0.606843:0.743189:0.599388:0.743189:0.000000
1:@0.607882:0.762768:0.613119:0.762768:0.613119:0.753607:0.607882:0.753607:0.000000
x:@0.657259:0.759595:0.664714:0.759595:0.664714:0.743189:0.657259:0.743189:0.000000
2:@0.665753:0.762768:0.670990:0.762768:0.670990:0.753607:0.665753:0.753607:0.000000
x:@0.715129:0.759595:0.722584:0.759595:0.722584:0.743189:0.715129:0.743189:0.000000
3:@0.723622:0.762768:0.728859:0.762768:0.728859:0.753607:0.723622:0.753607:0.000000
...:@0.773828:0.759595:0.785885:0.759595:0.785885:0.743189:0.773828:0.743189:0.000000:0.000000:0.000000
x:@0.825903:0.759595:0.833357:0.759595:0.833357:0.743189:0.825903:0.743189:0.000000
n:@0.834393:0.762768:0.839931:0.762768:0.839931:0.753203:0.834393:0.753203:0.000000
-1:@0.840532:0.762768:0.849568:0.762768:0.849568:0.753607:0.840532:0.753607:0.000000:0.000000
x:@0.888589:0.759595:0.896044:0.759595:0.896044:0.743189:0.888589:0.743189:0.000000
n:@0.897083:0.762768:0.902621:0.762768:0.902621:0.753203:0.897083:0.753203:0.000000
Probabilidad:@0.358208:0.791439:0.455242:0.791439:0.455242:0.774769:0.358208:0.774769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.542115:0.791439:0.551373:0.791439:0.551373:0.775033:0.542115:0.775033:0.000000
i:@0.552411:0.794611:0.554654:0.794611:0.554654:0.785451:0.552411:0.785451:0.000000
p:@0.598488:0.791439:0.607746:0.791439:0.607746:0.775033:0.598488:0.775033:0.000000
1:@0.608784:0.794611:0.614021:0.794611:0.614021:0.785451:0.608784:0.785451:0.000000
p:@0.656357:0.791439:0.665616:0.791439:0.665616:0.775033:0.656357:0.775033:0.000000
2:@0.666655:0.794611:0.671892:0.794611:0.671892:0.785451:0.666655:0.785451:0.000000
p:@0.714227:0.791439:0.723486:0.791439:0.723486:0.775033:0.714227:0.775033:0.000000
3:@0.724524:0.794611:0.729761:0.794611:0.729761:0.785451:0.724524:0.785451:0.000000
...:@0.773828:0.791439:0.785885:0.791439:0.785885:0.775033:0.773828:0.775033:0.000000:0.000000:0.000000
p:@0.825001:0.791439:0.834259:0.791439:0.834259:0.775033:0.825001:0.775033:0.000000
n:@0.835295:0.794611:0.840833:0.794611:0.840833:0.785047:0.835295:0.785047:0.000000
-1:@0.841434:0.794611:0.850470:0.794611:0.850470:0.785451:0.841434:0.785451:0.000000:0.000000
p:@0.887687:0.791439:0.896946:0.791439:0.896946:0.775033:0.887687:0.775033:0.000000
n:@0.897985:0.794611:0.903523:0.794611:0.903523:0.785047:0.897985:0.785047:0.000000
Ejercicio:@0.293660:0.826137:0.356865:0.826137:0.356865:0.809468:0.293660:0.809468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se define la variable aleatoria discreta :@0.293660:0.854928:0.567783:0.854928:0.567783:0.839215:0.293660:0.839215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.567431:0.854928:0.576488:0.854928:0.576488:0.838522:0.567431:0.838522:0.000000
=:@0.576414:0.855510:0.591747:0.855510:0.591747:0.837856:0.576414:0.837856:0.000000
 “número de caras que se obtiene al lanzar una :@0.591655:0.854928:0.931114:0.854928:0.931114:0.839215:0.591655:0.839215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
moneda dos veces”. ¿Cuál es la función de probabilidad? ¿Qué significa?:@0.293660:0.871569:0.812553:0.871569:0.812553:0.855857:0.293660:0.855857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Efectuemos un diagrama de árbol para determinar la probabilidad del evento. (véase :@0.293660:0.900360:0.931186:0.900360:0.931186:0.884647:0.293660:0.884647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Figura 3.4).:@0.293660:0.917002:0.371497:0.917002:0.371497:0.901289:0.293660:0.901289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 4. Variables aleatorias:@0.073089:0.098522:0.485140:0.098522:0.485140:0.067281:0.073089:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Revisa tu entorno y cuéntanos, ¿qué elementos puedes contar y cuáles no?:@0.293660:0.174318:0.838178:0.174318:0.838178:0.158606:0.293660:0.158606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reto matemático:@0.302768:0.139600:0.437491:0.139600:0.437491:0.122653:0.302768:0.122653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.073089:0.939346:0.084557:0.939346:0.084557:0.929294:0.073089:0.929294:0.000000
 :@0.084322:0.940006:0.087254:0.940006:0.087254:0.928578:0.084322:0.928578:0.000000
Figura 3.4.:@0.087201:0.940006:0.140315:0.940006:0.140315:0.928578:0.087201:0.928578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.088268:0.887017:0.096621:0.887017:0.096621:0.869120:0.088268:0.869120:0.000000
s:@0.190960:0.887017:0.197908:0.887017:0.197908:0.869120:0.190960:0.869120:0.000000
c:@0.131903:0.855716:0.140257:0.855716:0.140257:0.837818:0.131903:0.837818:0.000000
s:@0.131903:0.918304:0.138851:0.918304:0.138851:0.900406:0.131903:0.900406:0.000000
c:@0.234595:0.855716:0.242949:0.855716:0.242949:0.837818:0.234595:0.837818:0.000000
s:@0.234595:0.918304:0.241543:0.918304:0.241543:0.900406:0.234595:0.900406:0.000000
Se utilizan letras :@0.082231:0.564892:0.188719:0.564892:0.188719:0.550608:0.082231:0.550608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mayúsculas ( , , …) :@0.082231:0.580021:0.216905:0.580021:0.216905:0.565737:0.082231:0.565737:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X Y:@0.164863:0.580021:0.186416:0.580021:0.186416:0.565106:0.164863:0.565106:0.000000:0.000000:0.000000
para designar variables :@0.082231:0.595150:0.233308:0.595150:0.233308:0.580866:0.082231:0.580866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aleatorias y las respectivas :@0.082231:0.610279:0.252691:0.610279:0.252691:0.595995:0.082231:0.595995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
minúsculas ( , , …) para :@0.082231:0.625408:0.243613:0.625408:0.243613:0.611123:0.082231:0.611123:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.162470:0.625408:0.181262:0.625408:0.181262:0.610493:0.162470:0.610493:0.000000:0.000000:0.000000
designar valores concretos :@0.082231:0.640537:0.257375:0.640537:0.257375:0.626252:0.082231:0.626252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de estas.:@0.082231:0.655666:0.137329:0.655666:0.137329:0.641381:0.082231:0.641381:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Simbología :@0.087245:0.533086:0.181063:0.533086:0.181063:0.516139:0.087245:0.516139:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.087245:0.549728:0.180911:0.549728:0.180911:0.532781:0.087245:0.532781:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aleatorio. :@0.083485:0.274666:0.151523:0.274666:0.151523:0.259512:0.083485:0.259512:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Perteneciente o :@0.151262:0.274666:0.257143:0.274666:0.257143:0.260382:0.151262:0.260382:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
relativo al juego de azar. :@0.083489:0.289795:0.240955:0.289795:0.240955:0.275511:0.083489:0.275511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Subconjunto.:@0.083489:0.304924:0.173953:0.304924:0.173953:0.289770:0.083489:0.289770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Conjunto :@0.173685:0.304924:0.241847:0.304924:0.241847:0.290640:0.173685:0.290640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de elementos que :@0.083489:0.320053:0.205039:0.320053:0.205039:0.305768:0.083489:0.305768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pertenecen a otro :@0.083489:0.335182:0.203587:0.335182:0.203587:0.320897:0.083489:0.320897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjunto determinado.:@0.083489:0.350311:0.233032:0.350311:0.233032:0.336026:0.083489:0.336026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Glosario:@0.133170:0.248551:0.198751:0.248551:0.198751:0.231604:0.133170:0.231604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 8 (Ev. 3) Construye gráficas para representar las distribuciones de los datos muestrales y encuentra los estadígrafos adecuados. Usa software cuando sea posible.:@0.105819:0.965959:0.916968:0.965959:0.916968:0.954531:0.105819:0.954531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 10 (Ev. 1) Plantea o identifica una pregunta cuya solución requiera de la realización de un experimento aleatorio.:@0.105819:0.978062:0.720566:0.978062:0.720566:0.966635:0.105819:0.966635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000