82:@0.058599:0.966558:0.074760:0.966558:0.074760:0.950778:0.058599:0.950778:0.000000:0.000000
M.5.3.19. Reconocer un experimento de Bernoulli en diferentes contextos (control de calidad, análisis de datos, entre otros) y la distribución binomial en problemas de texto, :@0.143847:0.939630:0.894341:0.939630:0.894341:0.929588:0.143847:0.929588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
identificando los valores de p y q.:@0.143847:0.948432:0.287579:0.948432:0.287579:0.938389:0.143847:0.938389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.3.20. Calcular probabilidades binomiales con la fórmula (o con el apoyo de las TIC), la media, la varianza de distribuciones binomiales, y graficar.:@0.143847:0.957233:0.779353:0.957233:0.779353:0.947191:0.143847:0.947191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Distribución binomial :@0.404235:0.118449:0.677533:0.118449:0.677533:0.073790:0.404235:0.073790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o de Bernoulli  ( ):@0.404235:0.156168:0.683093:0.156168:0.683093:0.111509:0.404235:0.111509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B  n, p:@0.584964:0.156168:0.670051:0.156168:0.679476:0.111509:0.594389:0.111509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una :@0.404236:0.184672:0.438143:0.184672:0.438143:0.168174:0.404236:0.168174:0.000000:0.000000:0.000000:0.000000
distribución:@0.440339:0.184889:0.529306:0.184889:0.529306:0.168174:0.440339:0.168174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 es binomial o de Bernoulli cuando está asociada :@0.529306:0.184672:0.895941:0.184672:0.895941:0.168174:0.529306:0.168174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.891782:0.184672:0.895924:0.184672:0.895924:0.168174:0.891782:0.168174:0.000000
a dos posibles resultados: éxito ( ) o fracaso ( ).:@0.404255:0.202022:0.744455:0.202022:0.744455:0.185525:0.404255:0.185525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.632834:0.202138:0.642100:0.202138:0.642100:0.185669:0.632834:0.185669:0.000000
q:@0.726577:0.202138:0.735747:0.202138:0.735747:0.185669:0.726577:0.185669:0.000000
Ejercicio resuelto:@0.404255:0.236840:0.516666:0.236840:0.516666:0.220371:0.404255:0.220371:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Al lanzar un dado cinco veces, ¿cuál es la probabilidad de obtener tres :@0.404255:0.254075:0.896001:0.254075:0.896001:0.237577:0.404255:0.237577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
veces el dos?:@0.404255:0.271426:0.493974:0.271426:0.493974:0.254928:0.404255:0.254928:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En este caso, repetimos cinco veces el experimento y en cada lanza-:@0.404255:0.306127:0.891753:0.306127:0.891753:0.289629:0.404255:0.289629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
miento tenemos una probabilidad de 1/6 de sacar un dos, y una de :@0.404255:0.323478:0.896017:0.323478:0.896017:0.306980:0.404255:0.306980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5/6 de no obtener el número dos. Por lo tanto, se trata de una distri-:@0.404255:0.340829:0.891876:0.340829:0.891876:0.324331:0.404255:0.324331:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bución binomial.:@0.404255:0.358179:0.524068:0.358179:0.524068:0.341682:0.404255:0.341682:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La probabilidad de éxito, entonces, es: E = “sacar un 2”;  :@0.404255:0.385304:0.797550:0.385304:0.797550:0.368807:0.404255:0.368807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p E:@0.801208:0.384799:0.825773:0.384799:0.825773:0.368494:0.801208:0.368494:0.000000:0.000000:0.000000
( ):@0.810849:0.387706:0.833259:0.387706:0.833259:0.365947:0.810849:0.365947:0.000000:0.000000:0.000000
=:@0.835932:0.385314:0.846403:0.385314:0.846403:0.369196:0.835932:0.369196:0.000000
1:@0.852048:0.375509:0.860459:0.375509:0.860459:0.359176:0.852048:0.359176:0.000000
6:@0.851636:0.395497:0.860047:0.395497:0.860047:0.379164:0.851636:0.379164:0.000000
.:@0.866214:0.385309:0.868969:0.385309:0.868969:0.368812:0.866214:0.368812:0.000000
La probabilidad de fracaso es: F = “no sacar un 2”;  :@0.404233:0.419216:0.762252:0.419216:0.762252:0.402718:0.404233:0.402718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p F:@0.765971:0.419333:0.790380:0.419333:0.790380:0.402864:0.765971:0.402864:0.000000:0.000000:0.000000
( ):@0.775707:0.422271:0.798768:0.422271:0.798768:0.400292:0.775707:0.400292:0.000000:0.000000:0.000000
=:@0.801464:0.419854:0.812041:0.419854:0.812041:0.403573:0.801464:0.403573:0.000000
5:@0.817107:0.409949:0.825603:0.409949:0.825603:0.393452:0.817107:0.393452:0.000000
6:@0.817327:0.430140:0.825823:0.430140:0.825823:0.413642:0.817327:0.413642:0.000000
.:@0.831514:0.419217:0.834269:0.419217:0.834269:0.402720:0.831514:0.402720:0.000000
Para calcular la probabilidad de obtener en las cinco tiradas tres veces :@0.404236:0.453919:0.895955:0.453919:0.895955:0.437421:0.404236:0.437421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el dos, tomamos en cuenta que tenemos tres éxitos y dos fracasos. :@0.404236:0.471270:0.895824:0.471270:0.895824:0.454772:0.404236:0.454772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿De cuántas maneras se pueden obtener estos resultados? Tenemos :@0.404236:0.488620:0.895936:0.488620:0.895936:0.472123:0.404236:0.472123:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
varias opciones. Una de ellas puede ser obtener tres veces dos, en las :@0.404236:0.505971:0.895901:0.505971:0.895901:0.489474:0.404236:0.489474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tres primeras tiradas y, luego, en las dos tiradas más sin sacar dos. Esto :@0.404236:0.523322:0.895932:0.523322:0.895932:0.506824:0.404236:0.506824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se puede ilustrar gráficamente así::@0.404236:0.540673:0.643333:0.540673:0.643333:0.524175:0.404236:0.524175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
E:@0.419350:0.570202:0.427615:0.570202:0.427615:0.553704:0.419350:0.553704:0.000000
E:@0.457014:0.570202:0.465279:0.570202:0.465279:0.553704:0.457014:0.553704:0.000000
E:@0.494677:0.570202:0.502942:0.570202:0.502942:0.553704:0.494677:0.553704:0.000000
F:@0.532418:0.570202:0.540529:0.570202:0.540529:0.553704:0.532418:0.553704:0.000000
F:@0.570082:0.570202:0.578192:0.570202:0.578192:0.553704:0.570082:0.553704:0.000000
 :@0.594221:0.577778:0.598363:0.577778:0.598363:0.561281:0.594221:0.561281:0.000000
F:@0.717620:0.570202:0.725731:0.570202:0.725731:0.553704:0.717620:0.553704:0.000000
E:@0.755206:0.570202:0.763471:0.570202:0.763471:0.553704:0.755206:0.553704:0.000000
E:@0.792870:0.570202:0.801135:0.570202:0.801135:0.553704:0.792870:0.553704:0.000000
F:@0.830611:0.570202:0.838721:0.570202:0.838721:0.553704:0.830611:0.553704:0.000000
E:@0.868197:0.570202:0.876462:0.570202:0.876462:0.553704:0.868197:0.553704:0.000000
E:@0.568143:0.603744:0.576408:0.603744:0.576408:0.587246:0.568143:0.587246:0.000000
F:@0.605884:0.603744:0.613995:0.603744:0.613995:0.587246:0.605884:0.587246:0.000000
E:@0.643470:0.603744:0.651735:0.603744:0.651735:0.587246:0.643470:0.587246:0.000000
F:@0.681211:0.603744:0.689322:0.603744:0.689322:0.587246:0.681211:0.587246:0.000000
E:@0.718798:0.603744:0.727062:0.603744:0.727062:0.587246:0.718798:0.587246:0.000000
Como puedes notar, se trata de calcular de cuántas maneras se pue-:@0.404273:0.635800:0.891813:0.635800:0.891813:0.619302:0.404273:0.619302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
den ordenar tres éxitos y dos fracasos. De acuerdo con el análisis com-:@0.404273:0.653150:0.891759:0.653150:0.891759:0.636653:0.404273:0.636653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
binatorio, se tiene::@0.404273:0.670501:0.533136:0.670501:0.533136:0.654003:0.404273:0.654003:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.437592:0.705848:0.449849:0.704933:0.453185:0.687256:0.440928:0.688170:0.000000
k:@0.450444:0.708032:0.455743:0.707637:0.457672:0.697417:0.452373:0.697812:0.000000
n:@0.458320:0.696989:0.464439:0.696532:0.466368:0.686312:0.460249:0.686769:0.000000
=:@0.469626:0.706158:0.481021:0.706158:0.481021:0.688617:0.469626:0.688617:0.000000
n:@0.511928:0.696604:0.522444:0.695948:0.526281:0.677931:0.515765:0.678587:0.000000
!:@0.524490:0.695938:0.527624:0.695938:0.527624:0.678163:0.524490:0.678163:0.000000
k!(:@0.484969:0.717717:0.503069:0.717717:0.503069:0.699942:0.484969:0.699942:0.000000:0.000000:0.000000
n k:@0.503690:0.717987:0.540740:0.717373:0.544510:0.699666:0.507461:0.700280:0.000000:0.000000:0.000000
)!:@0.542490:0.717723:0.553139:0.717723:0.553139:0.699949:0.542490:0.699949:0.000000:0.000000
;  :@0.557410:0.705472:0.571109:0.705472:0.571109:0.687697:0.557410:0.687697:0.000000:0.000000:0.000000
C:@0.567649:0.705957:0.579956:0.704739:0.582422:0.687137:0.570115:0.688355:0.000000
3:@0.584004:0.707894:0.589296:0.707894:0.589296:0.697618:0.584004:0.697618:0.000000
5:@0.586165:0.696816:0.591456:0.696816:0.591456:0.686540:0.586165:0.686540:0.000000
=:@0.596274:0.706158:0.607669:0.706158:0.607669:0.688617:0.596274:0.688617:0.000000
5!:@0.636376:0.695938:0.649618:0.695938:0.649618:0.678164:0.636376:0.678164:0.000000:0.000000
3!(5 3)!:@0.612050:0.717717:0.674317:0.717723:0.674317:0.699949:0.612050:0.699942:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.679192:0.706158:0.690587:0.706158:0.690587:0.688617:0.679192:0.688617:0.000000
5 4 3!:@0.694551:0.695938:0.756651:0.695938:0.756651:0.678163:0.694551:0.678164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3! 2!:@0.705798:0.717717:0.745789:0.717723:0.745789:0.699949:0.705798:0.699942:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.761516:0.706158:0.772912:0.706158:0.772912:0.688617:0.761516:0.688617:0.000000
10  formas.:@0.774821:0.705472:0.857225:0.705472:0.857225:0.687697:0.774821:0.687697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Como :@0.404236:0.748795:0.453382:0.748795:0.453382:0.732297:0.404236:0.732297:0.000000:0.000000:0.000000:0.000000:0.000000
p E:@0.457098:0.748908:0.481912:0.748908:0.481912:0.732439:0.457098:0.732439:0.000000:0.000000:0.000000
( ):@0.466835:0.751846:0.489472:0.751846:0.489472:0.729867:0.466835:0.729867:0.000000:0.000000:0.000000
=:@0.492173:0.749429:0.502749:0.749429:0.502749:0.733148:0.492173:0.733148:0.000000
1:@0.508452:0.739524:0.516948:0.739524:0.516948:0.723027:0.508452:0.723027:0.000000
6:@0.508036:0.759716:0.516532:0.759716:0.516532:0.743218:0.508036:0.743218:0.000000
 y tenemos tres éxitos, y :@0.522066:0.748795:0.695010:0.748795:0.695010:0.732297:0.522066:0.732297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p F:@0.697437:0.748911:0.721846:0.748911:0.721846:0.732442:0.697437:0.732442:0.000000:0.000000:0.000000
( ):@0.707175:0.751848:0.730235:0.751848:0.730235:0.729869:0.707175:0.729869:0.000000:0.000000:0.000000
=:@0.732932:0.749431:0.743508:0.749431:0.743508:0.733150:0.732932:0.733150:0.000000
5:@0.748575:0.739527:0.757071:0.739527:0.757071:0.723029:0.748575:0.723029:0.000000
6:@0.748793:0.759718:0.757289:0.759718:0.757289:0.743221:0.748793:0.743221:0.000000
.  y tenemos dos:@0.762980:0.748795:0.868982:0.748795:0.868982:0.732297:0.762980:0.732297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fracasos, entonces::@0.404229:0.777467:0.535999:0.777467:0.535999:0.760969:0.404229:0.760969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.422212:0.803100:0.431478:0.803100:0.431478:0.786632:0.422212:0.786632:0.000000
(obtener 3 éxitos y 2 fracasos) = 10:@0.431382:0.802985:0.671870:0.802985:0.671870:0.786487:0.431382:0.786487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 1 1 5 5:@0.688313:0.794145:0.800255:0.794145:0.800255:0.777647:0.688313:0.777647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6 6 6 6 6:@0.687889:0.814343:0.800468:0.814343:0.800468:0.797845:0.687889:0.797845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.805004:0.803621:0.815580:0.803621:0.815580:0.787340:0.805004:0.787340:0.000000
0,032.:@0.818567:0.802985:0.860623:0.802985:0.860623:0.786487:0.818567:0.786487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La probabilidad de obtener tres números dos al lanzar cinco veces un :@0.404236:0.835423:0.895939:0.835423:0.895939:0.818925:0.404236:0.818925:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dado es del 3,2 %.:@0.404236:0.852774:0.528765:0.852774:0.528765:0.836276:0.404236:0.836276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición:@0.404236:0.881909:0.484320:0.881909:0.484320:0.864963:0.404236:0.864963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.484322:0.881663:0.487674:0.881663:0.487674:0.864948:0.484322:0.864948:0.000000
 Una variable aleatoria   sigue una distribución binomial :@0.487674:0.881446:0.895963:0.881446:0.895963:0.864948:0.487674:0.864948:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.651756:0.881562:0.661716:0.881562:0.661716:0.865093:0.651756:0.865093:0.000000
o de Bernoulli y se escribe como :@0.404236:0.898797:0.648999:0.898797:0.648999:0.882299:0.404236:0.882299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Bin n, p:@0.650829:0.898912:0.712153:0.898912:0.712153:0.882444:0.650829:0.882444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 (:@0.673083:0.898797:0.685008:0.898797:0.685008:0.882299:0.673083:0.882299:0.000000:0.000000
) o :@0.712172:0.898797:0.737776:0.898797:0.737776:0.882299:0.712172:0.882299:0.000000:0.000000:0.000000:0.000000
X Bin n p:@0.743315:0.898780:0.823158:0.898780:0.823158:0.882311:0.743315:0.882311:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( , )  cuando :@0.793162:0.898664:0.895906:0.898791:0.895906:0.882293:0.793162:0.882166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cumple con estas características::@0.404240:0.916142:0.634453:0.916142:0.634453:0.899644:0.404240:0.899644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.199646:0.115710:0.307805:0.115710:0.307805:0.100238:0.199646:0.100238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué es una distribución :@0.199884:0.144338:0.364192:0.144338:0.364192:0.129274:0.199884:0.129274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de probabilidad?:@0.153341:0.160180:0.261306:0.160180:0.261306:0.145116:0.153341:0.145116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.199646:0.207711:0.363493:0.207711:0.363493:0.192238:0.199646:0.192238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué es una variable :@0.199884:0.236338:0.336576:0.236338:0.336576:0.221275:0.199884:0.221275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aleatoria discreta?:@0.153341:0.252180:0.267658:0.252180:0.267658:0.237117:0.153341:0.237117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.199646:0.314841:0.346431:0.314841:0.346431:0.299369:0.199646:0.299369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática y  :@0.199884:0.343891:0.303278:0.343891:0.303278:0.328419:0.199884:0.328419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Probabilidad:@0.153341:0.359733:0.243785:0.359733:0.243785:0.344261:0.153341:0.344261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En muchas situaciones de la :@0.153341:0.390995:0.338300:0.390995:0.338300:0.375932:0.153341:0.375932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vida diaria, esperamos al menos :@0.153341:0.406837:0.361657:0.406837:0.361657:0.391774:0.153341:0.391774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
uno de dos posibles resultados :@0.153341:0.422679:0.357135:0.422679:0.357135:0.407616:0.153341:0.407616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinados. Por ejemplo, :@0.153341:0.438521:0.334743:0.438521:0.334743:0.423458:0.153341:0.423458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al jugar tu equipo favorito un :@0.153341:0.454363:0.346724:0.454363:0.346724:0.439300:0.153341:0.439300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
partido de fútbol, esperas que :@0.153341:0.470205:0.351223:0.470205:0.351223:0.455142:0.153341:0.455142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pierda o que gane. O cuando :@0.153341:0.486047:0.345614:0.486047:0.345614:0.470984:0.153341:0.470984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se producen ciertos artículos, :@0.153341:0.501889:0.346423:0.501889:0.346423:0.486826:0.153341:0.486826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estos pueden salir buenos o :@0.153341:0.517731:0.337170:0.517731:0.337170:0.502668:0.153341:0.502668:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
defectuosos. Para situaciones :@0.153341:0.533573:0.345262:0.533573:0.345262:0.518510:0.153341:0.518510:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como estas, en las que hay dos :@0.153341:0.549415:0.355781:0.549415:0.355781:0.534352:0.153341:0.534352:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
posibles resultados, se utiliza la :@0.153341:0.565257:0.356236:0.565257:0.356236:0.550194:0.153341:0.550194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
distribución binomial.:@0.153341:0.581099:0.294534:0.581099:0.294534:0.566036:0.153341:0.566036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Responde:@0.153346:0.834176:0.220135:0.834176:0.220135:0.818915:0.153346:0.818915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: ¿qué significa el :@0.220135:0.833978:0.330090:0.833978:0.330090:0.818915:0.220135:0.818915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
término binomial?:@0.153346:0.849820:0.272272:0.849820:0.272272:0.834757:0.153346:0.834757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 205232128:@0.386298:0.812301:0.386298:0.744127:0.374829:0.744127:0.374829:0.812301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000