200:@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
5.1 Media o esperanza matemática :@0.293660:0.240389:0.570052:0.240389:0.570052:0.223442:0.293660:0.223442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
E X:@0.569898:0.240389:0.593827:0.240389:0.593827:0.223442:0.569898:0.223442:0.000000:0.000000:0.000000
( ):@0.578954:0.240389:0.598632:0.240389:0.598632:0.224676:0.578954:0.224676:0.000000:0.000000:0.000000
 de una variable aleatoria discreta:@0.598558:0.240389:0.863059:0.240389:0.863059:0.223442:0.598558:0.223442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición.:@0.293660:0.267751:0.376287:0.267751:0.376287:0.251081:0.293660:0.251081:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Sea   una variable aleatoria discreta con distribución de probabilidad  , la:@0.376272:0.267751:0.926917:0.267752:0.926917:0.252039:0.376272:0.252038:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.411297:0.267751:0.420354:0.267751:0.420354:0.251345:0.411297:0.251345:0.000000
p:@0.895356:0.267751:0.904615:0.267751:0.904615:0.251345:0.895356:0.251345:0.000000
i:@0.904639:0.270924:0.906882:0.270924:0.906882:0.261764:0.904639:0.261764:0.000000
media ( ) o esperanza  ( ) de una variable aleatoria discreta   es::@0.293652:0.284394:0.764233:0.284394:0.764233:0.268681:0.293652:0.268681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
μ:@0.348211:0.284976:0.360488:0.284976:0.360488:0.267322:0.348211:0.267322:0.000000
E X:@0.460348:0.284394:0.482252:0.284394:0.482252:0.267988:0.460348:0.267988:0.000000:0.000000:0.000000
X:@0.732444:0.284394:0.741500:0.284394:0.741500:0.267988:0.732444:0.267988:0.000000
μ=:@0.541413:0.320784:0.570037:0.320784:0.570037:0.303130:0.541413:0.303130:0.000000:0.000000
E X:@0.571049:0.320201:0.595163:0.320201:0.595163:0.303795:0.571049:0.303795:0.000000:0.000000:0.000000
( )  :@0.580197:0.320201:0.622479:0.320201:0.622479:0.304489:0.580197:0.304489:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.602102:0.320784:0.617435:0.320784:0.617435:0.303130:0.602102:0.303130:0.000000
∑:@0.624850:0.321751:0.639459:0.321751:0.639459:0.296039:0.624850:0.296039:0.000000
n:@0.629837:0.302225:0.635374:0.302225:0.635374:0.292660:0.629837:0.292660:0.000000
i:@0.625587:0.326941:0.627798:0.326941:0.627798:0.317376:0.625587:0.317376:0.000000
=1:@0.628828:0.326941:0.640418:0.326941:0.640418:0.317781:0.628828:0.317781:0.000000:0.000000
 :@0.643517:0.320207:0.647548:0.320207:0.647548:0.304494:0.643517:0.304494:0.000000
x p:@0.648579:0.320207:0.672086:0.320207:0.672086:0.303800:0.648579:0.303800:0.000000:0.000000:0.000000
i:@0.657064:0.323379:0.659275:0.323379:0.659275:0.313814:0.657064:0.313814:0.000000
 :@0.659876:0.323379:0.662226:0.323379:0.662226:0.314218:0.659876:0.314218:0.000000
i:@0.673124:0.323379:0.675335:0.323379:0.675335:0.313814:0.673124:0.313814:0.000000
.:@0.675940:0.320207:0.679143:0.320207:0.679143:0.304494:0.675940:0.304494:0.000000
5.2 Varianza de una variable aleatoria discreta:@0.293658:0.348581:0.652986:0.348581:0.652986:0.331634:0.293658:0.331634:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición.:@0.293658:0.375943:0.376478:0.375943:0.376478:0.359273:0.293658:0.359273:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Sea   una variable aleatoria discreta con distribución de probabilidad  , y:@0.376583:0.375943:0.926905:0.375942:0.926905:0.360229:0.376583:0.360230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.412035:0.375943:0.421092:0.375943:0.421092:0.359537:0.412035:0.359537:0.000000
p:@0.899312:0.375943:0.908571:0.375943:0.908571:0.359537:0.899312:0.359537:0.000000
i:@0.908596:0.379114:0.910839:0.379114:0.910839:0.369953:0.908596:0.369953:0.000000
media ( ), la varianza indica qué tan alejados se encuentran los valores de la media y se :@0.293652:0.392583:0.931448:0.392583:0.931448:0.376871:0.293652:0.376871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
μ:@0.348284:0.393166:0.360562:0.393166:0.360562:0.375512:0.348284:0.375512:0.000000
define como::@0.293652:0.409225:0.389351:0.409225:0.389351:0.393513:0.293652:0.393513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
σ =:@0.544082:0.444173:0.577512:0.444167:0.577512:0.426513:0.544082:0.426519:0.000000:0.000000:0.000000
2:@0.556345:0.437520:0.561582:0.437520:0.561582:0.428360:0.556345:0.428360:0.000000
 :@0.578524:0.443584:0.582555:0.443584:0.582555:0.427872:0.578524:0.427872:0.000000
∑:@0.584911:0.446582:0.599520:0.446582:0.599520:0.420871:0.584911:0.420871:0.000000
n:@0.589898:0.427058:0.595436:0.427058:0.595436:0.417493:0.589898:0.417493:0.000000
i:@0.585649:0.451774:0.587859:0.451774:0.587859:0.442209:0.585649:0.442209:0.000000
=1:@0.588889:0.451774:0.600479:0.451774:0.600479:0.442613:0.588889:0.442613:0.000000:0.000000
x p:@0.608632:0.443584:0.640096:0.443584:0.640096:0.427178:0.608632:0.427178:0.000000:0.000000:0.000000
i:@0.617126:0.446757:0.619336:0.446757:0.619336:0.437192:0.617126:0.437192:0.000000
2:@0.619937:0.437523:0.625174:0.437523:0.625174:0.428363:0.619937:0.428363:0.000000
 :@0.625776:0.443584:0.629807:0.443584:0.629807:0.427872:0.625776:0.427872:0.000000
i:@0.641127:0.446757:0.643338:0.446757:0.643338:0.437192:0.641127:0.437192:0.000000
–μ:@0.643943:0.444167:0.666437:0.444167:0.666437:0.426513:0.643943:0.426513:0.000000:0.000000
2:@0.667450:0.437520:0.672686:0.437520:0.672686:0.428360:0.667450:0.428360:0.000000
.:@0.673283:0.443584:0.676486:0.443584:0.676486:0.427872:0.673283:0.427872:0.000000
5.3 Desviación típica o estándar de una variable aleatoria discreta:@0.293652:0.471959:0.806927:0.471959:0.806927:0.455012:0.293652:0.455012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición.:@0.293652:0.499321:0.376645:0.499321:0.376645:0.482651:0.293652:0.482651:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 La desviación típica o estándar de una variable aleatoria discreta es la raíz :@0.376650:0.499321:0.931268:0.499321:0.931268:0.483608:0.376650:0.483608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadrada de la varianza.:@0.293652:0.515962:0.467041:0.515962:0.467041:0.500250:0.293652:0.500250:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
σ:@0.547083:0.543907:0.558330:0.543907:0.558330:0.526253:0.547083:0.526253:0.000000
 =            –  .:@0.559342:0.543324:0.673472:0.543324:0.673472:0.527612:0.559342:0.527612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x p:@0.605784:0.543324:0.633771:0.543324:0.633771:0.526918:0.605784:0.526918:0.000000:0.000000:0.000000
i:@0.613192:0.546497:0.615402:0.546497:0.615402:0.536932:0.613192:0.536932:0.000000
2:@0.615359:0.537263:0.620596:0.537263:0.620596:0.528103:0.615359:0.528103:0.000000
i:@0.633697:0.546497:0.635908:0.546497:0.635908:0.536932:0.633697:0.536932:0.000000
m:@0.652896:0.542770:0.665174:0.542770:0.665174:0.529054:0.652896:0.529054:0.000000
2:@0.665078:0.537261:0.670315:0.537261:0.670315:0.528100:0.665078:0.528100:0.000000
Ejercicio:@0.293657:0.570686:0.356862:0.570686:0.356862:0.554017:0.293657:0.554017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se lanzan al aire, varias veces, dos dados iguales y se define la variable aleatoria discreta :@0.293657:0.598048:0.931323:0.598048:0.931323:0.582336:0.293657:0.582336:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.293657:0.614690:0.302713:0.614690:0.302713:0.598284:0.293657:0.598284:0.000000
= :@0.302713:0.615273:0.322667:0.615273:0.322667:0.597618:0.302713:0.597618:0.000000:0.000000
“suma de los puntos de las caras obtenidas”. El espacio muestral de este evento se :@0.323200:0.614690:0.931058:0.614690:0.931058:0.598977:0.323200:0.598977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
detalla en la tabla.:@0.293657:0.631332:0.424219:0.631332:0.424219:0.615619:0.293657:0.615619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.449580:0.662605:0.458562:0.662605:0.458562:0.646892:0.449580:0.646892:0.000000
2:@0.501764:0.662605:0.510747:0.662605:0.510747:0.646892:0.501764:0.646892:0.000000
3:@0.553949:0.662605:0.562931:0.662605:0.562931:0.646892:0.553949:0.646892:0.000000
4:@0.606133:0.662605:0.615116:0.662605:0.615116:0.646892:0.606133:0.646892:0.000000
5:@0.658318:0.662605:0.667301:0.662605:0.667301:0.646892:0.658318:0.646892:0.000000
6:@0.710502:0.662605:0.719485:0.662605:0.719485:0.646892:0.710502:0.646892:0.000000
1:@0.397432:0.687304:0.406415:0.687304:0.406415:0.671591:0.397432:0.671591:0.000000
2:@0.449616:0.687304:0.458599:0.687304:0.458599:0.671591:0.449616:0.671591:0.000000
3:@0.501801:0.687304:0.510784:0.687304:0.510784:0.671591:0.501801:0.671591:0.000000
4:@0.553986:0.687304:0.562968:0.687304:0.562968:0.671591:0.553986:0.671591:0.000000
5:@0.606170:0.687304:0.615153:0.687304:0.615153:0.671591:0.606170:0.671591:0.000000
6:@0.658355:0.687304:0.667337:0.687304:0.667337:0.671591:0.658355:0.671591:0.000000
7:@0.710539:0.687304:0.719522:0.687304:0.719522:0.671591:0.710539:0.671591:0.000000
2:@0.397469:0.712003:0.406451:0.712003:0.406451:0.696291:0.397469:0.696291:0.000000
3:@0.449653:0.712003:0.458636:0.712003:0.458636:0.696291:0.449653:0.696291:0.000000
4:@0.501838:0.712003:0.510821:0.712003:0.510821:0.696291:0.501838:0.696291:0.000000
5:@0.554022:0.712003:0.563005:0.712003:0.563005:0.696291:0.554022:0.696291:0.000000
6:@0.606207:0.712003:0.615190:0.712003:0.615190:0.696291:0.606207:0.696291:0.000000
7:@0.658391:0.712003:0.667374:0.712003:0.667374:0.696291:0.658391:0.696291:0.000000
8:@0.710576:0.712003:0.719559:0.712003:0.719559:0.696291:0.710576:0.696291:0.000000
3:@0.397505:0.736702:0.406488:0.736702:0.406488:0.720990:0.397505:0.720990:0.000000
4:@0.449690:0.736702:0.458673:0.736702:0.458673:0.720990:0.449690:0.720990:0.000000
5:@0.501875:0.736702:0.510857:0.736702:0.510857:0.720990:0.501875:0.720990:0.000000
6:@0.554059:0.736702:0.563042:0.736702:0.563042:0.720990:0.554059:0.720990:0.000000
7:@0.606244:0.736702:0.615226:0.736702:0.615226:0.720990:0.606244:0.720990:0.000000
8:@0.658428:0.736702:0.667411:0.736702:0.667411:0.720990:0.658428:0.720990:0.000000
9:@0.710613:0.736702:0.719596:0.736702:0.719596:0.720990:0.710613:0.720990:0.000000
4:@0.397542:0.761402:0.406525:0.761402:0.406525:0.745689:0.397542:0.745689:0.000000
5:@0.449727:0.761402:0.458710:0.761402:0.458710:0.745689:0.449727:0.745689:0.000000
6:@0.501911:0.761402:0.510894:0.761402:0.510894:0.745689:0.501911:0.745689:0.000000
7:@0.554096:0.761402:0.563079:0.761402:0.563079:0.745689:0.554096:0.745689:0.000000
8:@0.606281:0.761402:0.615263:0.761402:0.615263:0.745689:0.606281:0.745689:0.000000
9:@0.658465:0.761402:0.667448:0.761402:0.667448:0.745689:0.658465:0.745689:0.000000
10:@0.706195:0.761402:0.724087:0.761402:0.724087:0.745689:0.706195:0.745689:0.000000:0.000000
5:@0.397579:0.786101:0.406562:0.786101:0.406562:0.770388:0.397579:0.770388:0.000000
6:@0.449764:0.786101:0.458746:0.786101:0.458746:0.770388:0.449764:0.770388:0.000000
7:@0.501948:0.786101:0.510931:0.786101:0.510931:0.770388:0.501948:0.770388:0.000000
8:@0.554133:0.786101:0.563116:0.786101:0.563116:0.770388:0.554133:0.770388:0.000000
9:@0.606317:0.786101:0.615300:0.786101:0.615300:0.770388:0.606317:0.770388:0.000000
10:@0.654047:0.786101:0.671939:0.786101:0.671939:0.770388:0.654047:0.770388:0.000000:0.000000
11:@0.706232:0.786101:0.724124:0.786101:0.724124:0.770388:0.706232:0.770388:0.000000:0.000000
6:@0.397616:0.810800:0.406599:0.810800:0.406599:0.795088:0.397616:0.795088:0.000000
7:@0.449800:0.810800:0.458783:0.810800:0.458783:0.795088:0.449800:0.795088:0.000000
8:@0.501985:0.810800:0.510968:0.810800:0.510968:0.795088:0.501985:0.795088:0.000000
9:@0.554170:0.810800:0.563152:0.810800:0.563152:0.795088:0.554170:0.795088:0.000000
10:@0.601900:0.810800:0.619791:0.810800:0.619791:0.795088:0.601900:0.795088:0.000000:0.000000
11:@0.654084:0.810800:0.671976:0.810800:0.671976:0.795088:0.654084:0.795088:0.000000:0.000000
12:@0.706269:0.810800:0.724161:0.810800:0.724161:0.795088:0.706269:0.795088:0.000000:0.000000
Segundo dado:@0.352778:0.767221:0.352778:0.685543:0.331922:0.685543:0.331922:0.767221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Primer dado :@0.751403:0.660830:0.844585:0.660830:0.844585:0.645117:0.751403:0.645117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Suma de puntos:@0.766460:0.743803:0.886277:0.743803:0.886277:0.728090:0.766460:0.728090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determina::@0.293660:0.848065:0.378396:0.848065:0.378396:0.831396:0.293660:0.831396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.:@0.293660:0.875429:0.305146:0.875429:0.305146:0.859716:0.293660:0.859716:0.000000:0.000000
La media o esperanza matemática:@0.323861:0.875429:0.572168:0.875429:0.572168:0.859716:0.323861:0.859716:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b. La varianza:@0.293660:0.902792:0.403834:0.902792:0.403834:0.887079:0.293660:0.887079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c.:@0.293660:0.930155:0.304797:0.930155:0.304797:0.914443:0.293660:0.914443:0.000000:0.000000
La desviación típica o estándar:@0.323861:0.930155:0.545834:0.930155:0.545834:0.914443:0.323861:0.914443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 5. Media, varianza y desviación estándar:@0.073089:0.098522:0.759475:0.098522:0.759475:0.067281:0.073089:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Explica con tus palabras, ¿qué entiendes por valor esperado?:@0.293660:0.174318:0.732592:0.174318:0.732592:0.158606:0.293660:0.158606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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
La esperanza matemática :@0.078781:0.415010:0.246781:0.415010:0.246781:0.400725:0.078781:0.400725:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiene algunas propiedades :@0.078781:0.430138:0.253861:0.430138:0.253861:0.415854:0.078781:0.415854:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que enunciamos a :@0.078781:0.445267:0.202277:0.445267:0.202277:0.430983:0.078781:0.430983:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
continuación::@0.078781:0.460396:0.167169:0.460396:0.167169:0.446112:0.078781:0.446112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.078781:0.475525:0.089624:0.475525:0.089624:0.461241:0.078781:0.461241:0.000000:0.000000
La esperanza de una:@0.108902:0.475525:0.240999:0.475525:0.240999:0.461241:0.108902:0.461241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
constante es el valor:@0.108902:0.490654:0.240273:0.490654:0.240273:0.476370:0.108902:0.476370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la constante.:@0.108902:0.505783:0.210312:0.505783:0.210312:0.491499:0.108902:0.491499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
E c:@0.141031:0.520912:0.161680:0.520912:0.161680:0.505997:0.141031:0.505997:0.000000:0.000000:0.000000
( ):@0.149348:0.520912:0.167052:0.520912:0.167052:0.506628:0.149348:0.506628:0.000000:0.000000:0.000000
=:@0.167989:0.521442:0.181928:0.521442:0.181928:0.505392:0.167989:0.505392:0.000000
c:@0.182849:0.520912:0.189810:0.520912:0.189810:0.505997:0.182849:0.505997:0.000000
.:@0.190747:0.520912:0.193659:0.520912:0.193659:0.506628:0.190747:0.506628:0.000000
2.:@0.078781:0.536041:0.089624:0.536041:0.089624:0.521757:0.078781:0.521757:0.000000:0.000000
La esperanza de:@0.108902:0.536041:0.212819:0.536041:0.212819:0.521757:0.108902:0.521757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la suma de dos :@0.108902:0.551170:0.209558:0.551170:0.209558:0.536886:0.108902:0.536886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
variables aleatorias :@0.108902:0.566299:0.233434:0.566299:0.233434:0.552015:0.108902:0.552015:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
independientes es :@0.108902:0.581428:0.231956:0.581428:0.231956:0.567144:0.108902:0.567144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
igual a la suma de las :@0.108902:0.596557:0.248379:0.596557:0.248379:0.582273:0.108902:0.582273:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
esperanzas de los dos :@0.108902:0.611686:0.252830:0.611686:0.252830:0.597402:0.108902:0.597402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sumandos.:@0.108902:0.626815:0.179397:0.626815:0.179397:0.612530:0.108902:0.612530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
E X Y:@0.096803:0.641944:0.142621:0.641944:0.142621:0.627029:0.096803:0.627029:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.105120:0.641944:0.109554:0.641944:0.109554:0.627659:0.105120:0.627659:0.000000
+ =:@0.119662:0.642473:0.162869:0.642473:0.162869:0.626424:0.119662:0.626424:0.000000:0.000000:0.000000
):@0.143558:0.641944:0.147992:0.641944:0.147992:0.627659:0.143558:0.627659:0.000000
E X:@0.163789:0.641944:0.185710:0.641944:0.185710:0.627029:0.163789:0.627029:0.000000:0.000000:0.000000
( ):@0.172106:0.641944:0.191082:0.641944:0.191082:0.627659:0.172106:0.627659:0.000000:0.000000:0.000000
+:@0.192019:0.642473:0.205958:0.642473:0.205958:0.626424:0.192019:0.626424:0.000000
E Y:@0.206879:0.641944:0.228666:0.641944:0.228666:0.627029:0.206879:0.627029:0.000000:0.000000:0.000000
( ).:@0.215195:0.641944:0.237886:0.641944:0.237886:0.627659:0.215195:0.627659:0.000000:0.000000:0.000000:0.000000
3.:@0.078781:0.657073:0.089624:0.657073:0.089624:0.642788:0.078781:0.642788:0.000000:0.000000
La esperanza del:@0.108902:0.657073:0.216132:0.657073:0.216132:0.642788:0.108902:0.642788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
producto de dos :@0.108902:0.672202:0.220567:0.672202:0.220567:0.657917:0.108902:0.657917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
variables aleatorias :@0.108902:0.687330:0.233434:0.687330:0.233434:0.673046:0.108902:0.673046:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
independientes es :@0.108902:0.702459:0.231956:0.702459:0.231956:0.688175:0.108902:0.688175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
igual al producto de :@0.108902:0.717588:0.242585:0.717588:0.242585:0.703304:0.108902:0.703304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las esperanzas de los :@0.108902:0.732717:0.245969:0.732717:0.245969:0.718433:0.108902:0.718433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos factores.:@0.108902:0.747846:0.189410:0.747846:0.189410:0.733562:0.108902:0.733562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
E X Y:@0.106559:0.762975:0.142621:0.762975:0.142621:0.748061:0.106559:0.748061:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.114876:0.762975:0.119310:0.762975:0.119310:0.748691:0.114876:0.748691:0.000000
  =:@0.129418:0.763505:0.162869:0.763505:0.162869:0.747455:0.129418:0.747455:0.000000:0.000000:0.000000
):@0.143558:0.762975:0.147992:0.762975:0.147992:0.748691:0.143558:0.748691:0.000000
E X E Y:@0.163789:0.762975:0.218910:0.762975:0.218910:0.748061:0.163789:0.748061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) ( ).:@0.172106:0.762975:0.228131:0.762975:0.228131:0.748691:0.172106:0.748691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.192019:0.763505:0.196202:0.763505:0.196202:0.747455:0.192019:0.747455:0.000000
Competencia :@0.080953:0.374347:0.189513:0.374347:0.189513:0.357400:0.080953:0.357400:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.080953:0.390989:0.178428:0.390989:0.178428:0.374042:0.080953:0.374042:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 9 (Ev. 1)Encuentra las medidas de tendencia central y de dispersión, usando, cuando sea posible, herramientas tecnológicas.:@0.243566:0.972010:0.920904:0.972010:0.920904:0.960583:0.243566:0.960583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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