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UNIVERSIDAD DE LAS FUERZAS ARMADAS “ESPE” Estadística I Deber N.2 – Parcial N. 2 Nombres y Apellidos: Lenin Alexander Loachamín Muzo NRC: 1271 Fecha: jueves, 29 de Junio de 2017 Firma: DEBER N.2 Realizar dos ejercicios de cada distribución de probabilidad discreta: Uniforme Binomial Poisson Hipergeométrica Multinomial Consulte en el libro de Douglas Montgomery primera o quinta edición, ejercicios propuestos. PROBABILIDAD DISCRETA UNIFORME Sea que la variable aleatoria X tenga una distribucion discreta uniforme en los enteros 0 x 100. Determine la media y la varianza de X . a = 0 ; y b = 100 Media μ X = E X [ x ]= a + b 2 = 0 + 100 2 = 50 Varianza Var X ( X )= ( b a + 1 ) 2 2 = ( 100 0 + 1 ) 2 2 = 850.8 Sea que la variable aleatoria X tenga una distribución discreta uniforme en los enteros 1<=x<=3. Determine la media y la varianza de X. En una distribución discreta uniforme se tiene que la media y la varianza son: La media de los datos se calcula con la fórmula: μ = i = 1 n ¿ 1 x μ = 1 2 ∗( 1 + 2 + 3 ) 2

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μ = 2.0
• Fall '19

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