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Análisis estadístico de una colección de datos, Apuntes de Probabilidad

En este documento se presenta un análisis estadístico de una colección de datos mediante el uso de conjuntos, probabilidades y operaciones lógicas básicas. Se calculan probabilidades de subconjuntos y se estudian relaciones entre ellos. Se incluyen ejemplos con conjuntos finitos y infinitos.

Tipo: Apuntes

2019/2020

Subido el 11/08/2020

omar-lopez-cabrera
omar-lopez-cabrera 🇦🇷

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C ¯ (^) = (^) {{

x 1 , x 2 , x 3 } ∈ S

(^3) : 7 (^) ≤ (^) x i ≤ (^10)

} .

= ( (^34) )

= 4

P (^) ( C¯ ) = 4

/ 120 = 1

/ 30

g P (^) ( C ) =

1 (^) − (^) P (^) ( C¯ ) = 29

/ 30

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P (^) ( A (^1) ∪ (^) A (^2) ∪ (^) ( A (^3) ∩ (^) A 4 )) =

(^) P (^) ( A (^1) ) +

(^) P (^) ( A 2 ) +

(^) P (^) ( A (^3) ∩ (^) A 4 ) − (^) P (^) ( A 1 (^) ∩ (^) A (^2) )

− (^) P (^) ( A (^1) ∩ (^) A (^3) ∩ (^) A 4 ) − (^) P (^) ( A (^2) ∩ (^) A (^3) ∩ (^) A 4 ) +

(^) P (^) ( A 1 (^) ∩ (^) A 2 (^) ∩ (^) A 3 (^) ∩ (^) A 4 )

= (^) P (^) ( A 1 ) +

(^) P (^) ( A 2 ) +

(^) P (^) ( A (^3) ) P (^) ( A (^4) ) (^) − (^) P (^) ( A 1 )P (^) ( A 2 ) − (^) P (^) ( A 1 )P (^) ( A 3 )P (^) ( A 4 )

− (^) P (^) ( A (^2) ) P (^) ( A (^3) ) P (^) ( A (^4) ) +

(^) P (^) ( A 1 )P (^) ( A 2 )P (^) ( A (^3) ) P (^) ( A 4 )

= 0

,95 + 0

,95 + 0

, 95

(^2) − (^0) , 95

(^2) − (^0) , 95

(^3) − (^0) , 95

3

  • 0^

, 95

(^4) = 0

, 9998

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P (^) ( A 1 ) = 0

, 22

0 P (^) ( A 2 ) = 0

, 25

g^ P (^) ( A 3 ) = 0

, 58

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P (^) ( A¯ (^1) ∩ A¯ (^2) ∩ A¯ 3 ) =

(^) P (^) ( A¯ 1 )P (^) ( A¯ (^2) ) P (^) ( A¯ 3 ) = 0

, 78 (^) · (^0) , 75

(^) · (^0) ,42 = 0

, 2457

.

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1 (^) − (^) P (^) ( A 1 (^) ∩ (^) A 2 (^) ∩ (^) A 3 ) = 1

(^) − (^0) , 22

(^) · (^0) , 25

(^) · (^0) ,58 = 0

, 9681

.

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