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Metodos Estadisticos II (Hector Medina Disla)

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De una población de egresados se desea conocer el ingreso promedio de ellos, con un nivel de confianza de 90.0% y un margen de error de ± 800.0 $. En un estudio anterior se encontró una desviación estándar del ingreso de este grupo igual a 4,000$. ¿Cuántos elementos debe tener la muestra?

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El gerente de una empresa desea conocer el porcentaje de personas que prefieren cierto productos de consumo. Dicho gerente desea una estimación del porcentaje con un margen de error de ± 3.5%.

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En una variable aleatoria que sigue una distribución normal con media de 10 y desviación de 2.5, la probabilidad de que dicha variable sea menor que 10 es igual a cero, P(X ≤ 10) = 0. <!-- /* Font Definitions */ @font-face {font-family:"Cambria Math"; panose-1:2 4 5 3 5 4 6 3 2 4; mso-font-charset:0; mso-generic-font-family:roman; mso-font-pitch:variable; mso-font-signature:-536870145 1107305727 0 0 415 0;} /* Style Definitions */ p.MsoNormal, li.MsoNormal, div.MsoNormal {mso-style-unhide:no; mso-style-qformat:yes; mso-style-parent:""; margin:0cm; margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:12.0pt; font-family:"Times New Roman",serif; mso-fareast-font-family:"Times New Roman"; mso-ansi-language:ES; mso-fareast-language:ES;}.MsoChpDefault {mso-style-type:export-only; mso-default-props:yes; font-size:10.0pt; mso-ansi-font-size:10.0pt; mso-bidi-font-size:10.0pt;}@page WordSection1 {size:612.0pt 792.0pt; margin:70.85pt 3.0cm 70.85pt 3.0cm; mso-header-margin:36.0pt; mso-footer-margin:36.0pt; mso-paper-source:0;}div.WordSection1 {page:WordSection1;}-->
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El tiempo que tarda un comunicador para realizar una entrevista de 10 preguntas en un programa de televisión, puede considerarse una variable aleatoria normal con un promedio de 30 minutos y una desviación estándar de 5 minutos. Para un entrevistado que va iniciar una entrevista con dicho comunicador; Calcular:

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Para una variable aleatoria que sigue una distribución normal estántar con media cero, (0) y desviación estándar uno, (1). ¿Cuál es el valor de Z por encima de cual se encuentra el 90% de los elementos?
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Las calificaciones del primera prueba parcial de un grupo de estudiantes puede considerarse una Variable Aleatoria Normal con un promedio 10.6 puntos y una desviación estándar de 3.2 puntos. Para esta población de estudiantes:

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En una variable aleatoria distribuida uniformemente, la probabilidad de que la variable tome un valor igual o menor al promedio de dicha distribución es igual a 0.50<!-- /* Font Definitions */ @font-face {font-family:"Cambria Math"; panose-1:2 4 5 3 5 4 6 3 2 4; mso-font-charset:0; mso-generic-font-family:roman; mso-font-pitch:variable; mso-font-signature:-536870145 1107305727 0 0 415 0;} /* Style Definitions */ p.MsoNormal, li.MsoNormal, div.MsoNormal {mso-style-unhide:no; mso-style-qformat:yes; mso-style-parent:""; margin:0cm; margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:12.0pt; font-family:"Times New Roman",serif; mso-fareast-font-family:"Times New Roman"; mso-ansi-language:ES; mso-fareast-language:ES;}.MsoChpDefault {mso-style-type:export-only; mso-default-props:yes; font-size:10.0pt; mso-ansi-font-size:10.0pt; mso-bidi-font-size:10.0pt;}@page WordSection1 {size:612.0pt 792.0pt; margin:70.85pt 3.0cm 70.85pt 3.0cm; mso-header-margin:36.0pt; mso-footer-margin:36.0pt; mso-paper-source:0;}div.WordSection1 {page:WordSection1;}-->
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¿Las variables aleatorias continuas son aquellas que en un rango de valores pueden tomar infinitos valores y el rango o recorrido es infinito?

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El tiempo que tarda un comunicador para realizar una entrevista de 10 preguntas en un programa de televisión, puede considerarse una variable aleatoria normal con un promedio de 30 minutos y una desviación estándar de 5 minutos. Para un entrevistado que va iniciar una entrevista con dicho comunicador; Calcular:

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Las ventas de una empresa puede considerarse un variable aleatoria que sigue una distribución normal con un promedio de 400$ y desviación estándar de 40$. ¿Cuál es el valor de las ventas por debajo del cual se encuentra el 20% inferior de las ventas?
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