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Estadística II (EME312)

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Año académico: 2021/2022
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PROBABILIDADES DE LA FUNCIÓN DE DISTRIBUCIÓN ACUMULADA DE UNA VARIABLE ALEATORIA NORMAL ESTANDARIZADA ( A)

0 -5 -2 Variable0 2 5.

Densidad P ( Zz 0 ) PROBABILIDADES DE LA FUNCIÓN DE DISTRIBUCIÓN ACUMULADA DE UNA VARIABLE ALEATORIA NORMAL ESTANDARIZADA ( B )

(C) Valores de una variable aleatoria t-student para la probabilidad acumulada indicada en la primera fila según grados de libertad

Probabilidades Acumuladas Distribución F (F1)

Tabla generada en excel por prof. Sr. Rosamel Sáez Espinoza
Grados de libertad del numerador
g l.
Denom

3 0 0 0 1 1 1 1 1 1 1 1.

####### 0 5 5 5 5 5 5 5 5 5 5.

####### 0 34 30 29 28 28 27 27 27 27 27.

0 167 148 141 137 134 132 131 130 129 129.

4 0 0 0 0 1 1 1 1 1 1 1.

0 74 61 56 53 51 50 49 49 48 48.

5 0 0 0 0 1 1 1 1 1 1 1.

####### 0 16 13 12 11 11 10 10 10 10 10.

####### 0 6 5 4 4 4 4 4 4 4 4.

0 29 21 18 17 16 15 15 14 14 14.
0 14 11 9 8 8 8 7 7 7 7.

####### 0 5 4 3 3 3 3 3 3 3 3.

0.
Grados de libertad del numerador
g l.
Denom

####### 0 2 2 2 2 2 2 2 2 2 2.

0 3 3 3 3 3 3 3 3 3 3.
0 4 4 4 4 4 4 4 4 4 4.
0 8 8 8 7 7 7 7 7 7 7.
0 3 3 3 3 3 3 3 3 3 3.
0 7 7 7 6 6 6 6 6 6 6.
0 5 4 4 4 4 4 4 4 4 4.
0 2 2 2 2 2 2 2 2 2 2.
0 6 6 6 5 5 5 5 5 5 5.
0 2 2 2 2 2 2 2 2 2 2.
0 3 3 3 3 3 3 3 3 3 3.
0 2 2 2 2 2 2 2 2 2 2.
0 3 3 3 3 3 3 3 3 3 3.
0 2 2 2 2 2 2 2 2 2 2.
0 2 2 2 2 2 2 2 2 2 2.
Grados de libertad del numerador
g l.
Denom
0 2 2 2 2 2 2 2 2 2 2.

####### 0 2 2 2 2 2 2 2 2 2 2.

0 2 2 2 2 2 2 2 2 2 2.
0 2 2 2 2 2 2 2 2 2 2.

####### 0 1 1 1 1 1 1 1 1 1 1.

####### 0 1 1 1 1 1 1 1 1 1 1.

####### 0 1 1 1 1 1 1 1 1 1 1.

0 2 2 2 2 2 2 2 2 2 2.

####### 0 1 1 1 1 1 1 1 1 1 1.

0 1 1 1 1 1 1 1 1 1 1.

####### 0 1 1 1 1 1 1 1 1 1 1.

####### 0 1 1 1 1 1 1 1 1 1 1.

####### 0 1 1 1 1 1 1 1 1 1 1.

Grados de libertad del numerador
g l.
Denom
0 2 2 2 2 2 2 2 2 2 2.

####### 0 1 1 1 1 1 1 1 1 1 1.

####### 0 1 1 1 1 1 1 1 1 1 1.

####### 0 1 1 1 1 1 1 1 1 1 1.

####### 0 1 1 1 1 1 1 1 1 1 1.

0 3 3 3 3 2 2 2 2 2 2.

####### 0 1 1 1 1 1 1 1 1 1 1.

####### 0 1 1 1 1 1 1 1 1 1 1.

0 1 1 1 1 1 1 1 1 1 1.

####### 0 1 1 1 1 1 1 1 1 1 1.

0 1 1 1 1 1 1 1 1 1 1.

####### 0 1 1 1 1 1 1 1 1 1 1.

0 1 1 1 1 1 1 1 1 1 1.
0 1 1 1 1 1 1 1 1 1 1.
0 1 1 1 1 1 1 1 1 1 1.
  • z 0 0 0 0 0 0 0 0 0 0 0. Tabla generada en excel por prof. Sr. Rosamel Sáez Espinoza
  • 0 0 0 0 0 0 0 0 0 0 0.
  • 0 0 0 0 0 0 0 0 0 0 0.
  • 0 0 0 0 0 0 0 0 0 0 0.
  • 0 0 0 0 0 0 0 0 0 0 0.
  • 0 0 0 0 0 0 0 0 0 0 0.
  • 0 0 0 0 0 0 0 0 0 0 0.
  • 0 0 0 0 0 0 0 0 0 0 0.
  • 0 0 0 0 0 0 0 0 0 0 0.
  • 0 0 0 0 0 0 0 0 0 0 0.
  • 0 0 0 0 0 0 0 0 0 0 0.
  • 1 0 0 0 0 0 0 0 0 0 0.
  • 1 0 0 0 0 0 0 0 0 0 0.
  • 1 0 0 0 0 0 0 0 0 0 0.
  • 1 0 0 0 0 0 0 0 0 0 0.
  • 1 0 0 0 0 0 0 0 0 0 0.
  • 1 0 0 0 0 0 0 0 0 0 0.
  • 1 0 0 0 0 0 0 0 0 0 0.
  • 1 0 0 0 0 0 0 0 0 0 0.
  • 1 0 0 0 0 0 0 0 0 0 0.
  • 1 0 0 0 0 0 0 0 0 0 0.
  • 2 0 0 0 0 0 0 0 0 0 0.
  • 2 0 0 0 0 0 0 0 0 0 0.
  • 2 0 0 0 0 0 0 0 0 0 0.
  • 2 0 0 0 0 0 0 0 0 0 0.
  • 2 0 0 0 0 0 0 0 0 0 0.
  • 2 0 0 0 0 0 0 0 0 0 0.
  • 2 0 0 0 0 0 0 0 0 0 0.
  • 2 0 0 0 0 0 0 0 0 0 0.
  • 2 0 0 0 0 0 0 0 0 0 0.
  • 2 0 0 0 0 0 0 0 0 0 0.
  • 3 0 0 0 0 0 0 0 0 0 0.
  • 3 0 0 0 0 0 0 0 0 0 0.
  • 3 0 0 0 0 0 0 0 0 0 0.
  • 3 0 0 0 0 0 0 0 0 0 0.
  • 3 0 0 0 0 0 0 0 0 0 0.
  • 3 0 0 0 0 0 0 0 0 0 0.
  • 3 0 0 0 0 0 0 0 0 0 0.
  • 3 0 0 0 0 0 0 0 0 0 0.
  • 3 0 0 0 0 0 0 0 0 0 0.
  • 3 0 0 0 0 0 0 0 0 0 0.
  • 4 0 0 0 0 0 0 0 0 0 0. - 0 -5 -2 Variable0 2 5. - 0. - 0. - 0. - 0. - 0 0 0 0 0 0 0 0 0 0. Tabla generada en excel por prof. Sr. Rosamel Sáez Espinoza - -4 0 0 0 0 0 0 0 0 0 0. - -3 0 0 0 0 0 0 0 0 0 0. - -3 0 0 0 0 0 0 0 0 0 0. - -3 0 0 0 0 0 0 0 0 0 0. - -3 0 0 0 0 0 0 0 0 0 0. - -3 0 0 0 0 0 0 0 0 0 0. - -3 0 0 0 0 0 0 0 0 0 0. - -3 0 0 0 0 0 0 0 0 0 0. - -3 0 0 0 0 0 0 0 0 0 0. - -3 0 0 0 0 0 0 0 0 0 0. - -3 0 0 0 0 0 0 0 0 0 0. - -2 0 0 0 0 0 0 0 0 0 0. - -2 0 0 0 0 0 0 0 0 0 0. - -2 0 0 0 0 0 0 0 0 0 0. - -2 0 0 0 0 0 0 0 0 0 0. - -2 0 0 0 0 0 0 0 0 0 0. - -2 0 0 0 0 0 0 0 0 0 0. - -2 0 0 0 0 0 0 0 0 0 0. - -2 0 0 0 0 0 0 0 0 0 0. - -2 0 0 0 0 0 0 0 0 0 0. - -2 0 0 0 0 0 0 0 0 0 0. - -1 0 0 0 0 0 0 0 0 0 0. - -1 0 0 0 0 0 0 0 0 0 0. - -1 0 0 0 0 0 0 0 0 0 0. - -1 0 0 0 0 0 0 0 0 0 0. - -1 0 0 0 0 0 0 0 0 0 0. - -1 0 0 0 0 0 0 0 0 0 0. - -1 0 0 0 0 0 0 0 0 0 0. - -1 0 0 0 0 0 0 0 0 0 0. - -1 0 0 0 0 0 0 0 0 0 0. - -1 0 0 0 0 0 0 0 0 0 0. - -0 0 0 0 0 0 0 0 0 0 0. - -0 0 0 0 0 0 0 0 0 0 0. - -0 0 0 0 0 0 0 0 0 0 0. - -0 0 0 0 0 0 0 0 0 0 0. - -0 0 0 0 0 0 0 0 0 0 0. - -0 0 0 0 0 0 0 0 0 0 0. - -0 0 0 0 0 0 0 0 0 0 0. - -0 0 0 0 0 0 0 0 0 0 0. - -0 0 0 0 0 0 0 0 0 0 0. - 0 0 0 0 0 0 0 0 0 0 0.
  • g. de l. 0 0 0 0 0 0 0 0 0 0 0 0 0 0. Tabla generada en excel por prof. Sr. Rosamel Sáez Espinoza - 1 636 318 63 31 12 6 3 1 1 1 0 0 0 0. - 2 31 22 9 6 4 2 1 1 1 0 0 0 0 0. - 3 12 10 5 4 3 2 1 1 0 0 0 0 0 0. - 4 8 7 4 3 2 2 1 1 0 0 0 0 0 0. - 5 6 5 4 3 2 2 1 1 0 0 0 0 0 0. - 6 5 5 3 3 2 1 1 1 0 0 0 0 0 0. - 7 5 4 3 2 2 1 1 1 0 0 0 0 0 0. - 8 5 4 3 2 2 1 1 1 0 0 0 0 0 0. - 9 4 4 3 2 2 1 1 1 0 0 0 0 0 0. - 10 4 4 3 2 2 1 1 1 0 0 0 0 0 0. - 11 4 4 3 2 2 1 1 1 0 0 0 0 0 0. - 12 4 3 3 2 2 1 1 1 0 0 0 0 0 0. - 13 4 3 3 2 2 1 1 1 0 0 0 0 0 0. - 14 4 3 2 2 2 1 1 1 0 0 0 0 0 0. - 15 4 3 2 2 2 1 1 1 0 0 0 0 0 0. - 16 4 3 2 2 2 1 1 1 0 0 0 0 0 0. - 17 3 3 2 2 2 1 1 1 0 0 0 0 0 0. - 18 3 3 2 2 2 1 1 1 0 0 0 0 0 0. - 19 3 3 2 2 2 1 1 1 0 0 0 0 0 0. - 20 3 3 2 2 2 1 1 1 0 0 0 0 0 0. - 21 3 3 2 2 2 1 1 1 0 0 0 0 0 0. - 22 3 3 2 2 2 1 1 1 0 0 0 0 0 0. - 23 3 3 2 2 2 1 1 1 0 0 0 0 0 0. - 24 3 3 2 2 2 1 1 1 0 0 0 0 0 0. - 25 3 3 2 2 2 1 1 1 0 0 0 0 0 0. - 26 3 3 2 2 2 1 1 1 0 0 0 0 0 0. - 27 3 3 2 2 2 1 1 1 0 0 0 0 0 0. - 28 3 3 2 2 2 1 1 1 0 0 0 0 0 0. - 29 3 3 2 2 2 1 1 1 0 0 0 0 0 0. - 30 3 3 2 2 2 1 1 1 0 0 0 0 0 0. - 31 3 3 2 2 2 1 1 1 0 0 0 0 0 0. - 32 3 3 2 2 2 1 1 1 0 0 0 0 0 0. - 33 3 3 2 2 2 1 1 1 0 0 0 0 0 0. - 34 3 3 2 2 2 1 1 1 0 0 0 0 0 0. - 35 3 3 2 2 2 1 1 1 0 0 0 0 0 0. - 36 3 3 2 2 2 1 1 1 0 0 0 0 0 0. - 37 3 3 2 2 2 1 1 1 0 0 0 0 0 0. - 38 3 3 2 2 2 1 1 1 0 0 0 0 0 0. - 39 3 3 2 2 2 1 1 1 0 0 0 0 0 0. - 40 3 3 2 2 2 1 1 1 0 0 0 0 0 0. - 41 3 3 2 2 2 1 1 1 0 0 0 0 0 0. - 42 3 3 2 2 2 1 1 1 0 0 0 0 0 0. - 43 3 3 2 2 2 1 1 1 0 0 0 0 0 0. - 44 3 3 2 2 2 1 1 1 0 0 0 0 0 0. - 45 3 3 2 2 2 1 1 1 0 0 0 0 0 0. - 46 3 3 2 2 2 1 1 1 0 0 0 0 0 0. - 47 3 3 2 2 2 1 1 1 0 0 0 0 0 0. - 48 3 3 2 2 2 1 1 1 0 0 0 0 0 0. - 49 3 3 2 2 2 1 1 1 0 0 0 0 0 0. - 50 3 3 2 2 2 1 1 1 0 0 0 0 0 0.
    • > 50 3 3 2 2 1 1 1 1 0 0 0 0 0 0. - 0 -8 -4 0 4 8. P( T t 0 )= 1 −  - 0. - 0. - 0. - 0 P(t< 2)=0 g. de l =
      • Acum. 1 2 3 4 5 6 7 8 9 Prob.
    • 2 0 0 1 1 1 1 1 1 1 1 1. - 0 8 9 9 9 9 9 9 9 9 9. - 0 18 19 19 19 19 19 19 19 19 19. - 0 38 39 39 39 39 39 39 39 39 39. - 0 98 99 99 99 99 99 99 99 99 99. - 0 198 199 199 199 199 199 199 199 199 199. - 0 998 999 999 999 999 999 999 999 999 999.
    • 3 0 0 0 1 1 1 1 1 1 1 1. - 0 5 5 5 5 5 5 5 5 5 5. - 0 10 9 9 9 9 8 8 8 8 8. - 0 17 16 15 15 14 14 14 14 14 14. - 0 34 30 29 28 28 27 27 27 27 27. - 0 55 49 47 46 45 44 44 44 43 43. - 0 167 148 141 137 134 132 131 130 129 129.
    • 4 0 0 0 0 1 1 1 1 1 1 1. - 0 4 4 4 4 4 4 4 4 3 3. - 0 7 6 6 6 6 6 6 6 6 6. - 0 12 10 10 9 9 9 9 9 8 8. - 0 21 18 16 16 15 15 15 14 14 14. - 0 31 26 24 23 22 22 21 21 21 21. - 0 74 61 56 53 51 50 49 49 48 48.
    • 5 0 0 0 0 1 1 1 1 1 1 1. - 0 4 3 3 3 3 3 3 3 3 3. - 0 6 5 5 5 5 5 4 4 4 4. - 0 10 8 7 7 7 7 6 6 6 6. - 0 16 13 12 11 11 10 10 10 10 10. - 0 22 18 16 15 14 14 14 14 13 13. - 0 47 37 33 31 29 28 28 27 27 26.
    • 6 0 0 0 0 0 1 1 1 1 1 1. - 0 3 3 3 3 3 3 3 3 3 2. - 0 6 5 4 4 4 4 4 4 4 4. - 0 8 7 6 6 6 5 5 5 5 5. - 0 13 10 9 9 8 8 8 8 8 7. - 0 18 14 12 12 11 11 10 10 10 10. - 0 35 27 23 21 20 20 19 19 18 18.
    • 7 0 0 0 0 0 1 1 1 1 1 1. - 0 3 3 3 3 2 2 2 2 2 2. - 0 5 4 4 4 4 3 3 3 3 3. - 0 8 6 5 5 5 5 5 4 4 4. - 0 12 9 8 7 7 7 7 6 6 6. - 0 16 12 10 10 9 9 8 8 8 8. - 0 29 21 18 17 16 15 15 14 14 14.
    • 8 0 0 0 0 0 0 1 1 1 1 1. - 0 3 3 2 2 2 2 2 2 2 2. - 0 5 4 4 3 3 3 3 3 3 3. - 0 7 6 5 5 4 4 4 4 4 4. - 0 11 8 7 7 6 6 6 6 5 5. - 0 14 11 9 8 8 8 7 7 7 7. - 0 25 18 15 14 13 12 12 12 11 11.
    • 9 0 0 0 0 0 0 1 1 1 1 1. - 0 3 3 2 2 2 2 2 2 2 2. - 0 5 4 3 3 3 3 3 3 3 3. - 0 7 5 5 4 4 4 4 4 4 4. - 0 10 8 7 6 6 5 5 5 5 5. - 0 13 10 8 8 7 7 6 6 6 6. - 0 22 16 13 12 11 11 10 10 10 9.
  • 10 0 0 0 0 0 0 1 1 1 1 1. - 0 3 2 2 2 2 2 2 2 2 2. - 0 5 4 3 3 3 3 3 3 3 3. - 0 6 5 4 4 4 4 3 3 3 3. - 0 10 7 6 6 5 5 5 5 4 4. - 0 12 9 8 7 6 6 6 6 6 5. - 0 21 14 12 11 10 9 9 9 9 8. - 0 0 1 3 4 6. - 0. - 0. - 0. - 0 F de Snedecor(9,8): P(F<3)=0.
    • Acum. 7 8 9 10 11 12 13 14 15 Prob.
  • 11 0 1 1 1 1 1 1 1 1 1 1. - 0 2 2 2 2 2 2 2 2 2 2. - 0 3 2 2 2 2 2 2 2 2 2. - 0 3 3 3 3 3 3 3 3 3 3. - 0 4 4 4 4 4 4 4 4 4 4. - 0 5 5 5 5 5 5 5 5 5 5. - 0 8 8 8 7 7 7 7 7 7 7.
  • 12 0 1 1 1 1 1 1 1 1 1 1. - 0 2 2 2 2 2 2 2 2 2 2. - 0 2 2 2 2 2 2 2 2 2 2. - 0 3 3 3 3 3 3 3 3 3 3. - 0 4 4 4 4 4 4 4 4 4 4. - 0 5 5 5 5 5 4 4 4 4 4. - 0 8 7 7 7 7 7 6 6 6 6.
  • 13 0 1 1 1 1 1 1 1 1 1 1. - 0 2 2 2 2 2 2 2 2 2 2. - 0 2 2 2 2 2 2 2 2 2 2. - 0 3 3 3 3 3 3 3 3 3 3. - 0 4 4 4 4 4 4 3 3 3 3. - 0 5 5 4 4 4 4 4 4 4 4. - 0 7 7 7 6 6 6 6 6 6 6.
  • 14 0 1 1 1 1 1 1 1 1 1 1. - 0 2 2 2 2 2 2 2 2 2 2. - 0 2 2 2 2 2 2 2 2 2 2. - 0 3 3 3 3 3 3 3 3 2 2. - 0 4 4 4 3 3 3 3 3 3 3. - 0 5 4 4 4 4 4 4 4 4 4. - 0 7 6 6 6 6 6 6 5 5 5.
  • 15 0 0 1 1 1 1 1 1 1 1 1. - 0 2 2 2 2 2 2 2 2 2 2. - 0 2 2 2 2 2 2 2 2 2 2. - 0 3 3 3 3 3 3 2 2 2 2. - 0 4 4 3 3 3 3 3 3 3 3. - 0 4 4 4 4 4 4 4 4 4 4. - 0 6 6 6 6 5 5 5 5 5 5.
  • 16 0 0 1 1 1 1 1 1 1 1 1. - 0 2 2 2 2 2 2 2 2 1 1. - 0 2 2 2 2 2 2 2 2 2 2. - 0 3 3 3 3 2 2 2 2 2 2. - 0 4 3 3 3 3 3 3 3 3 3. - 0 4 4 4 4 4 4 4 4 3 3. - 0 6 6 6 5 5 5 5 5 5 5.
  • 17 0 0 1 1 1 1 1 1 1 1 1. - 0 2 2 2 2 2 2 1 1 1 1. - 0 2 2 2 2 2 2 2 2 2 2. - 0 3 3 3 2 2 2 2 2 2 2. - 0 3 3 3 3 3 3 3 3 3 3. - 0 4 4 4 4 4 4 3 3 3 3. - 0 6 6 5 5 5 5 5 5 5 5.
  • 18 0 0 1 1 1 1 1 1 1 1 1. - 0 2 2 2 2 2 1 1 1 1 1. - 0 2 2 2 2 2 2 2 2 2 2. - 0 3 3 2 2 2 2 2 2 2 2. - 0 3 3 3 3 3 3 3 3 3 3. - 0 4 4 4 4 3 3 3 3 3 3. - 0 6 5 5 5 5 5 5 4 4 4.
  • 19 0 0 1 1 1 1 1 1 1 1 1. - 0 2 2 2 2 1 1 1 1 1 1. - 0 2 2 2 2 2 2 2 2 2 2. - 0 3 3 2 2 2 2 2 2 2 2. - 0 3 3 3 3 3 3 3 3 3 3. - 0 4 4 4 3 3 3 3 3 3 3. - 0 5 5 5 5 5 5 4 4 4 4.
  • 20 0 0 0 1 1 1 1 1 1 1 1. - 0 2 2 2 1 1 1 1 1 1 1. - 0 2 2 2 2 2 2 2 2 2 2. - 0 3 2 2 2 2 2 2 2 2 2. - 0 3 3 3 3 3 3 3 3 3 3. - 0 4 4 4 3 3 3 3 3 3 3. - 0 5 5 5 5 4 4 4 4 4 4. - Acum. 23 24 29 34 39 44 49 60 89 Prob.
    • 17 0 1 1 1 1 1 1 1 1 1 1. - 0 1 1 1 1 1 1 1 1 1 1. - 0 2 2 2 2 2 2 2 2 2 2. - 0 2 2 2 2 2 2 2 2 2 2. - 0 3 3 3 3 2 2 2 2 2 2. - 0 3 3 3 3 3 3 3 3 3 3. - 0 4 4 4 4 4 4 4 4 4 4.
    • 20 0 1 1 1 1 1 1 1 1 1 1. - 0 1 1 1 1 1 1 1 1 1 1. - 0 2 2 2 2 2 2 2 1 1 1. - 0 2 2 2 2 2 2 2 2 2 2. - 0 2 2 2 2 2 2 2 2 2 2. - 0 3 3 3 3 3 3 3 2 2 2. - 0 4 4 4 3 3 3 3 3 3 3.
    • 24 0 1 1 1 1 1 1 1 1 1 1. - 0 1 1 1 1 1 1 1 1 1 1. - 0 2 2 1 1 1 1 1 1 1 1. - 0 2 2 2 2 2 2 2 2 2 2. - 0 2 2 2 2 2 2 2 2 2 2. - 0 3 3 2 2 2 2 2 2 2 2. - 0 3 3 3 3 3 3 3 3 3 3.
    • 27 0 1 1 1 1 1 1 1 1 1 1. - 0 1 1 1 1 1 1 1 1 1 1. - 0 1 1 1 1 1 1 1 1 1 1. - 0 2 2 2 2 2 2 2 2 2 1. - 0 2 2 2 2 2 2 2 2 2 2. - 0 2 2 2 2 2 2 2 2 2 2. - 0 3 3 3 3 3 3 3 3 3 3.
    • 31 0 1 1 1 1 1 1 1 1 1 1. - 0 1 1 1 1 1 1 1 1 1 1. - 0 1 1 1 1 1 1 1 1 1 1. - 0 2 2 2 2 2 2 2 1 1 1. - 0 2 2 2 2 2 2 2 2 2 2. - 0 2 2 2 2 2 2 2 2 2 2. - 0 3 3 3 3 3 3 2 2 2 2.
    • 35 0 1 1 1 1 1 1 1 1 1 1. - 0 1 1 1 1 1 1 1 1 1 1. - 0 1 1 1 1 1 1 1 1 1 1. - 0 2 2 2 2 1 1 1 1 1 1. - 0 2 2 2 2 2 2 2 2 2 2. - 0 2 2 2 2 2 2 2 2 2 2. - 0 3 3 3 2 2 2 2 2 2 2.
    • 49 0 1 1 1 1 1 1 1 1 1 1. - 0 1 1 1 1 1 1 1 1 1 1. - 0 1 1 1 1 1 1 1 1 1 1. - 0 2 1 1 1 1 1 1 1 1 1. - 0 2 2 2 2 2 2 2 1 1 1. - 0 2 2 2 2 2 2 2 2 2 2. - 0 2 2 2 2 2 2 2 2 2 2.
    • 51 0 1 1 1 1 1 1 1 1 1 1. - 0 1 1 1 1 1 1 1 1 1 1. - 0 1 1 1 1 1 1 1 1 1 1. - 0 1 1 1 1 1 1 1 1 1 1. - 0 2 2 2 2 2 2 1 1 1 1. - 0 2 2 2 2 2 2 2 2 2 1. - 0 2 2 2 2 2 2 2 2 2 2.
    • 79 0 1 1 1 1 1 1 1 1 1 1. - 0 1 1 1 1 1 1 1 1 1 1. - 0 1 1 1 1 1 1 1 1 1 1. - 0 1 1 1 1 1 1 1 1 1 1. - 0 2 2 2 1 1 1 1 1 1 1. - 0 2 2 2 2 2 1 1 1 1 1. - 0 2 2 2 2 2 2 2 2 2 2.
  • 109 0 1 1 1 1 1 1 1 1 1 1. - 0 1 1 1 1 1 1 1 1 1 1. - 0 1 1 1 1 1 1 1 1 1 1. - 0 1 1 1 1 1 1 1 1 1 1. - 0 2 2 1 1 1 1 1 1 1 1. - 0 2 2 2 2 1 1 1 1 1 1. - 0 2 2 2 2 2 2 2 2 1 1.
    • Acum. 17 20 24 27 31 35 49 51 79 Prob.
  • 23 0 1 1 1 1 1 1 1 1 1 1. - 0 1 1 1 1 1 1 1 1 1 1. - 0 2 2 2 2 2 1 1 1 1 1. - 0 2 2 2 2 2 2 2 2 2 2. - 0 2 2 2 2 2 2 2 2 2 2. - 0 3 3 3 3 2 2 2 2 2 2. - 0 4 4 3 3 3 3 3 3 3 3.
  • 24 0 1 1 1 1 1 1 1 1 1 1. - 0 1 1 1 1 1 1 1 1 1 1. - 0 2 2 2 2 1 1 1 1 1 1. - 0 2 2 2 2 2 2 2 2 2 2. - 0 2 2 2 2 2 2 2 2 2 2. - 0 3 3 3 2 2 2 2 2 2 2. - 0 4 3 3 3 3 3 3 3 3 3.
  • 29 0 1 1 1 1 1 1 1 1 1 1. - 0 1 1 1 1 1 1 1 1 1 1. - 0 2 1 1 1 1 1 1 1 1 1. - 0 2 2 2 2 2 2 2 2 1 1. - 0 2 2 2 2 2 2 2 2 2 2. - 0 3 2 2 2 2 2 2 2 2 2. - 0 3 3 3 3 3 3 3 3 2 2.
  • 34 0 1 1 1 1 1 1 1 1 1 1. - 0 1 1 1 1 1 1 1 1 1 1. - 0 1 1 1 1 1 1 1 1 1 1. - 0 2 2 2 2 2 2 1 1 1 1. - 0 2 2 2 2 2 2 2 2 2 2. - 0 2 2 2 2 2 2 2 2 2 2. - 0 3 3 3 3 3 3 2 2 2 2.
  • 39 0 1 1 1 1 1 1 1 1 1 1. - 0 1 1 1 1 1 1 1 1 1 1. - 0 1 1 1 1 1 1 1 1 1 1. - 0 2 2 2 2 1 1 1 1 1 1. - 0 2 2 2 2 2 2 2 2 2 1. - 0 2 2 2 2 2 2 2 2 2 2. - 0 3 3 3 3 2 2 2 2 2 2.
  • 44 0 1 1 1 1 1 1 1 1 1 1. - 0 1 1 1 1 1 1 1 1 1 1. - 0 1 1 1 1 1 1 1 1 1 1. - 0 2 2 2 1 1 1 1 1 1 1. - 0 2 2 2 2 2 2 2 2 1 1. - 0 2 2 2 2 2 2 2 2 2 2. - 0 3 3 2 2 2 2 2 2 2 2.
  • 49 0 1 1 1 1 1 1 1 1 1 1. - 0 1 1 1 1 1 1 1 1 1 1. - 0 1 1 1 1 1 1 1 1 1 1. - 0 2 2 1 1 1 1 1 1 1 1. - 0 2 2 2 2 2 2 2 2 1 1. - 0 2 2 2 2 2 2 2 2 2 1. - 0 3 3 2 2 2 2 2 2 2 2.
  • 60 0 1 1 1 1 1 1 1 1 1 1. - 0 1 1 1 1 1 1 1 1 1 1. - 0 1 1 1 1 1 1 1 1 1 1. - 0 2 1 1 1 1 1 1 1 1 1. - 0 2 2 2 2 2 2 1 1 1 1. - 0 2 2 2 2 2 2 2 2 1 1. - 0 3 2 2 2 2 2 2 2 2 2.
  • 89 0 1 1 1 1 1 1 1 1 1 1. - 0 1 1 1 1 1 1 1 1 1 1. - 0 1 1 1 1 1 1 1 1 1 1. - 0 1 1 1 1 1 1 1 1 1 1. - 0 2 2 2 2 1 1 1 1 1 1. - 0 2 2 2 2 2 2 1 1 1 1. - 0 2 2 2 2 2 2 2 2 2 1.
  • 99 0 1 1 1 1 1 1 1 1 1 1. - 0 1 1 1 1 1 1 1 1 1 1. - 0 1 1 1 1 1 1 1 1 1 1. - 0 1 1 1 1 1 1 1 1 1 1. - 0 2 2 2 1 1 1 1 1 1 1. - 0 2 2 2 2 2 2 1 1 1 1. - 0 2 2 2 2 2 2 2 2 1 1.
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Tablas probabilidades+Estad%C3%ADstica

Asignatura: Estadística II (EME312)

32 Documentos
Los estudiantes compartieron 32 documentos en este curso
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1
PROBABILIDADES DE LA FUNCIÓN DE DISTRIBUCIÓN ACUMULADA DE UNA VARIABLE ALEATORIA NORMAL ESTANDARIZADA
( A)
Tabla generada en excel por prof. Sr. Rosamel Sáez Espinoza
z00.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09
0.0 0.500000 0.503989 0.507978 0.511967 0.515953 0.519939 0.523922 0.527903 0.531881 0.535856
0.1 0.539828 0.543795 0.547758 0.551717 0.555670 0.559618 0.563559 0.567495 0.571424 0.575345
0.2 0.579260 0.583166 0.587064 0.590954 0.594835 0.598706 0.602568 0.606420 0.610261 0.614092
0.3 0.617911 0.621719 0.625516 0.629300 0.633072 0.636831 0.640576 0.644309 0.648027 0.651732
0.4 0.655422 0.659097 0.662757 0.666402 0.670031 0.673645 0.677242 0.680822 0.684386 0.687933
0.5 0.691462 0.694974 0.698468 0.701944 0.705402 0.708840 0.712260 0.715661 0.719043 0.722405
0.6 0.725747 0.729069 0.732371 0.735653 0.738914 0.742154 0.745373 0.748571 0.751748 0.754903
0.7 0.758036 0.761148 0.764238 0.767305 0.770350 0.773373 0.776373 0.779350 0.782305 0.785236
0.8 0.788145 0.791030 0.793892 0.796731 0.799546 0.802338 0.805106 0.807850 0.810570 0.813267
0.9 0.815940 0.818589 0.821214 0.823814 0.826391 0.828944 0.831472 0.833977 0.836457 0.838913
1.0 0.841345 0.843752 0.846136 0.848495 0.850830 0.853141 0.855428 0.857690 0.859929 0.862143
1.1 0.864334 0.866500 0.868643 0.870762 0.872857 0.874928 0.876976 0.878999 0.881000 0.882977
1.2 0.884930 0.886860 0.888767 0.890651 0.892512 0.894350 0.896165 0.897958 0.899727 0.901475
1.3 0.903199 0.904902 0.906582 0.908241 0.909877 0.911492 0.913085 0.914656 0.916207 0.917736
1.4 0.919243 0.920730 0.922196 0.923641 0.925066 0.926471 0.927855 0.929219 0.930563 0.931888
1.5 0.933193 0.934478 0.935744 0.936992 0.938220 0.939429 0.940620 0.941792 0.942947 0.944083
1.6 0.945201 0.946301 0.947384 0.948449 0.949497 0.950529 0.951543 0.952540 0.953521 0.954486
1.7 0.955435 0.956367 0.957284 0.958185 0.959071 0.959941 0.960796 0.961636 0.962462 0.963273
1.8 0.964070 0.964852 0.965621 0.966375 0.967116 0.967843 0.968557 0.969258 0.969946 0.970621
1.9 0.971284 0.971933 0.972571 0.973197 0.973810 0.974412 0.975002 0.975581 0.976148 0.976705
2.0 0.977250 0.977784 0.978308 0.978822 0.979325 0.979818 0.980301 0.980774 0.981237 0.981691
2.1 0.982136 0.982571 0.982997 0.983414 0.983823 0.984222 0.984614 0.984997 0.985371 0.985738
2.2 0.986097 0.986447 0.986791 0.987126 0.987455 0.987776 0.988089 0.988396 0.988696 0.988989
2.3 0.989276 0.989556 0.989830 0.990097 0.990358 0.990613 0.990863 0.991106 0.991344 0.991576
2.4 0.991802 0.992024 0.992240 0.992451 0.992656 0.992857 0.993053 0.993244 0.993431 0.993613
2.5 0.993790 0.993963 0.994132 0.994297 0.994457 0.994614 0.994766 0.994915 0.995060 0.995201
2.6 0.995339 0.995473 0.995603 0.995731 0.995855 0.995975 0.996093 0.996207 0.996319 0.996427
2.7 0.996533 0.996636 0.996736 0.996833 0.996928 0.997020 0.997110 0.997197 0.997282 0.997365
2.8 0.997445 0.997523 0.997599 0.997673 0.997744 0.997814 0.997882 0.997948 0.998012 0.998074
2.9 0.998134 0.998193 0.998250 0.998305 0.998359 0.998411 0.998462 0.998511 0.998559 0.998605
3.0 0.998650 0.998694 0.998736 0.998777 0.998817 0.998856 0.998893 0.998930 0.998965 0.998999
3.1 0.999032 0.999064 0.999096 0.999126 0.999155 0.999184 0.999211 0.999238 0.999264 0.999289
3.2 0.999313 0.999336 0.999359 0.999381 0.999402 0.999423 0.999443 0.999462 0.999481 0.999499
3.3 0.999517 0.999533 0.999550 0.999566 0.999581 0.999596 0.999610 0.999624 0.999638 0.999650
3.4 0.999663 0.999675 0.999687 0.999698 0.999709 0.999720 0.999730 0.999740 0.999749 0.999758
3.5 0.999767 0.999776 0.999784 0.999792 0.999800 0.999807 0.999815 0.999821 0.999828 0.999835
3.6 0.999841 0.999847 0.999853 0.999858 0.999864 0.999869 0.999874 0.999879 0.999883 0.999888
3.7 0.999892 0.999896 0.999900 0.999904 0.999908 0.999912 0.999915 0.999918 0.999922 0.999925
3.8 0.999928 0.999930 0.999933 0.999936 0.999938 0.999941 0.999943 0.999946 0.999948 0.999950
3.9 0.999952 0.999954 0.999956 0.999958 0.999959 0.999961 0.999963 0.999964 0.999966 0.999967
4.0 0.999968 0.999970 0.999971 0.999972 0.999973 0.999974 0.999975 0.999976 0.999977 0.999978
-5.0 0 -2.5 0 0.00 2.50 5.00
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PROBABILIDADES DE LA FUNCIÓN DE DISTRIBUCIÓN ACUMULADA DE UNA VARIABLE ALEATORIA NORMAL ESTANDARIZADA
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Tabla generada en excel por prof. Sr. Rosamel Sáez Espinoza
0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09
-4.0 0.000032 0.000030 0.000029 0.000028 0.000027 0.000026 0.000025 0.000024 0.000023 0.000022
-3.9 0.000048 0.000046 0.000044 0.000042 0.000041 0.000039 0.000037 0.000036 0.000034 0.000033
-3.8 0.000072 0.000070 0.000067 0.000064 0.000062 0.000059 0.000057 0.000054 0.000052 0.000050
-3.7 0.000108 0.000104 0.000100 0.000096 0.000092 0.000088 0.000085 0.000082 0.000078 0.000075
-3.6 0.000159 0.000153 0.000147 0.000142 0.000136 0.000131 0.000126 0.000121 0.000117 0.000112
-3.5 0.000233 0.000224 0.000216 0.000208 0.000200 0.000193 0.000185 0.000179 0.000172 0.000165
-3.4 0.000337 0.000325 0.000313 0.000302 0.000291 0.000280 0.000270 0.000260 0.000251 0.000242
-3.3 0.000483 0.000467 0.000450 0.000434 0.000419 0.000404 0.000390 0.000376 0.000362 0.000350
-3.2 0.000687 0.000664 0.000641 0.000619 0.000598 0.000577 0.000557 0.000538 0.000519 0.000501
-3.1 0.000968 0.000936 0.000904 0.000874 0.000845 0.000816 0.000789 0.000762 0.000736 0.000711
-3.0 0.001350 0.001306 0.001264 0.001223 0.001183 0.001144 0.001107 0.001070 0.001035 0.001001
-2.9 0.001866 0.001807 0.001750 0.001695 0.001641 0.001589 0.001538 0.001489 0.001441 0.001395
-2.8 0.002555 0.002477 0.002401 0.002327 0.002256 0.002186 0.002118 0.002052 0.001988 0.001926
-2.7 0.003467 0.003364 0.003264 0.003167 0.003072 0.002980 0.002890 0.002803 0.002718 0.002635
-2.6 0.004661 0.004527 0.004397 0.004269 0.004145 0.004025 0.003907 0.003793 0.003681 0.003573
-2.5 0.006210 0.006037 0.005868 0.005703 0.005543 0.005386 0.005234 0.005085 0.004940 0.004799
-2.4 0.008198 0.007976 0.007760 0.007549 0.007344 0.007143 0.006947 0.006756 0.006569 0.006387
-2.3 0.010724 0.010444 0.010170 0.009903 0.009642 0.009387 0.009137 0.008894 0.008656 0.008424
-2.2 0.013903 0.013553 0.013209 0.012874 0.012545 0.012224 0.011911 0.011604 0.011304 0.011011
-2.1 0.017864 0.017429 0.017003 0.016586 0.016177 0.015778 0.015386 0.015003 0.014629 0.014262
-2.0 0.022750 0.022216 0.021692 0.021178 0.020675 0.020182 0.019699 0.019226 0.018763 0.018309
-1.9 0.028716 0.028067 0.027429 0.026803 0.026190 0.025588 0.024998 0.024419 0.023852 0.023295
-1.8 0.035930 0.035148 0.034379 0.033625 0.032884 0.032157 0.031443 0.030742 0.030054 0.029379
-1.7 0.044565 0.043633 0.042716 0.041815 0.040929 0.040059 0.039204 0.038364 0.037538 0.036727
-1.6 0.054799 0.053699 0.052616 0.051551 0.050503 0.049471 0.048457 0.047460 0.046479 0.045514
-1.5 0.066807 0.065522 0.064256 0.063008 0.061780 0.060571 0.059380 0.058208 0.057053 0.055917
-1.4 0.080757 0.079270 0.077804 0.076359 0.074934 0.073529 0.072145 0.070781 0.069437 0.068112
-1.3 0.096801 0.095098 0.093418 0.091759 0.090123 0.088508 0.086915 0.085344 0.083793 0.082264
-1.2 0.115070 0.113140 0.111233 0.109349 0.107488 0.105650 0.103835 0.102042 0.100273 0.098525
-1.1 0.135666 0.133500 0.131357 0.129238 0.127143 0.125072 0.123024 0.121001 0.119000 0.117023
-1.0 0.158655 0.156248 0.153864 0.151505 0.149170 0.146859 0.144572 0.142310 0.140071 0.137857
-0.9 0.184060 0.181411 0.178786 0.176186 0.173609 0.171056 0.168528 0.166023 0.163543 0.161087
-0.8 0.211855 0.208970 0.206108 0.203269 0.200454 0.197662 0.194894 0.192150 0.189430 0.186733
-0.7 0.241964 0.238852 0.235762 0.232695 0.229650 0.226627 0.223627 0.220650 0.217695 0.214764
-0.6 0.274253 0.270931 0.267629 0.264347 0.261086 0.257846 0.254627 0.251429 0.248252 0.245097
-0.5 0.308538 0.305026 0.301532 0.298056 0.294598 0.291160 0.287740 0.284339 0.280957 0.277595
-0.4 0.344578 0.340903 0.337243 0.333598 0.329969 0.326355 0.322758 0.319178 0.315614 0.312067
-0.3 0.382089 0.378281 0.374484 0.370700 0.366928 0.363169 0.359424 0.355691 0.351973 0.348268
-0.2 0.420740 0.416834 0.412936 0.409046 0.405165 0.401294 0.397432 0.393580 0.389739 0.385908
-0.1 0.460172 0.456205 0.452242 0.448283 0.444330 0.440382 0.436441 0.432505 0.428576 0.424655
0.0 0.500000 0.496011 0.492022 0.488033 0.484047 0.480061 0.476078 0.472097 0.468119 0.464144
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