Variables-aleatorias-conjuntas-continuas.pptx

Variables-aleatorias-conjuntas-continuas.pptx - Variables...

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Variables aleatorias conjuntas continuas Probabilidad (2016) Profesora: Eloísa Cadenas Morales Facultad de Ingeniería, UNAM •Valdez Mondragón Erik
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Una variable aleatoria conjunta (X, Y) regla que asigna valores numéricos a cada resultado en el espacio muestral de un experimento dentro del campo de los = x ℝ ℝ Cada componente de la variable aleatoria conjunta es una variable aleatoria unidimensional
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Sea (X, Y) una variable aleatoria con función de densidad conjunta: a) Obtener función de distribución y comprobar. b) Obtener las funciones de probabilidad marginal, su función de densidad y de distribución c) Calcular independencia d) Obtener condicionales e) Esperanza matemática f) Obtener varianza, covarianza y coeficiente de correlación
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¿Qué es la función de densidad? La función de densidad de probabilidad de las VV. AA. CC. es quien describe las probabilidades relativas según la cual dichas variables aleatorias tomarán determinado valor. La probabilidad de que las VV. AA. caigan en una región específica del espacio de probabilidades está dada por lo siguiente:
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