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Sumario EJERCICIO VARIANZA Y DESVIACIÓN ESTANDAR.
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EJERCICIO VARIANZA Y DESVIACIÓN ESTANDAR.
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GRUPO #5CURSO: 2-12
6.- El director de admisiones de Kinzua University en Nueva Escocia estimó la distribución de
admisiones de estudiantes para el segundo semestre con base en la experiencia de años pasados.
¿Cuál es el número de admisiones esperado para el segundo semestre? Calcule la varianza y la
desviación estándar del número de admisiones.
RESPUESTA:
Se espera para el segundo semestre tener 1110 alumnos
✓ VARIANZA
𝜏 2 = ∑[(𝑥 − 𝑢)2 𝑃(𝑥)]
ADMISIONES PROBABILIDAD 𝒙 𝑷(𝒙) (𝒙 − 𝒖) (𝒙 − 𝒖)𝟐 (𝒙
− 𝒖)𝟐 𝑷(𝒙)
1000 0,6 600 -110 12100 7260
1200 0,3 360 90 8100 2430
1500 0,1 150 390 152100 15210
1110 24900
𝜏 2 = 7260 + 2430 + 15210
𝜏 2 = 24900
✓ DESVIACIÓN ESTÁNDAR
𝜏 = √𝜏 2
𝜏 = √24900
𝜏 = 157,79
2.- CALCULE LA MEDIA Y LA VARIANZA DE LA SIGUIENTE DISTRIBUCION DE PROBLEMÁTICA
DISCRETA.
𝒙 𝑷(𝒙) 𝒙 𝑷(𝒙) (𝒙 − 𝒖) (𝒙 − 𝒖)𝟐 (𝒙 − 𝒖)𝟐 𝑷(𝒙)
2 5 10 -52 2,704 13,520
8 3 24 -46 2,116 6,348
10 2 20 -44 1,936 3,872
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