Seminario 8 irene
Transcript of Seminario 8 irene
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Irene Mallén Muñoz.
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*EJERCICIO BINOMIAL
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a) 60 o menos estén correctamente evaluadas:
P[60 o menos pruebas estén correctamente evaluadas] = P[X ≤
60]
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b) Menos de 60 estén correctamente evaluadas:
P[menos de 60 pruebas estén correctamente evaluadas] = P[X <
60] = P[X ≤ 59]
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c) Exactamente 60 estén correctamente evaluadas:
P[exactamente 60 estén correctamente evaluadas] = P[X =
60]
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*EJERCICIO DE POISSON
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a) Haya exactamente 10 muertes por cáncer de pulmón en un año.
P[ Haya exactamente 10 muertes por cáncer de
pulmón en un año] = P[X = 10]
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b) 15 o más personas mueran a causa de la enfermedad durante un año.
P[más de 15 personas mueran a causa de la enfermedad durante un año] = P[X > 15] = 1 - P[X ≤
15]
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c) 10 o menos personas mueran a causa de la enfermedad en 6 meses. Se define una nueva variable, Y = ”Nº de muertes por cáncer de pulmón en seis meses”.Esta variable aleatoria tiene distribución de Poisson de parámetro λ = 6. A partir de aquí se calcula la probabilidad que se pide.
P[10 o menos personas mueran a causa de la enfermedad en 6
meses] = P[Y ≤ 10]
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