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Practica nº4 imprimir

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Practica nº4 imprimir

1. 1. PRACTICA Nº4 DISTRIBUCION DE PROBABILIDAD Y MODELO NORMAL 1 DISTRIBUCIONES DE PROBABILIDAD A) FUNCION DE PROBABILIDAD PARA VARIABLES ALEATORIAS DISCRETAS x P(x) P(x)% F(x) 0 0.32768 32.768 0.32768 1 0.4096 40.96 0.73728 2 0.2048 20.48 0.94208 3 0.0512 5.12 0.99328 4 0.0064 0.64 0.99968 5 0.00032 0.032 1 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0 1 2 3 4 5 P(X) X FUNCION DE PROBABILIDAD
2. 2. B) FUNCION DE PROBABILIDAD PARA VARIABLES A LAEATORIAS CONTINUAS X P(x) F(x) 1 0.30326533 0.39346934 2 0.183939721 0.632120559 3 0.11156508 0.77686984 4 0.067667642 0.864664717 5 0.041042499 0.917915001 6 0.024893534 1.0 0 0.2 0.4 0.6 0.8 1 1.2 0 1 2 3 4 5 F(x) X FUNCION ACUMULATIVA DE PROBABILIDAD
3. 3. 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 2 3 4 5 6 P(x) X 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 2 3 4 5 6 F(x) X
4. 4. 2.- MOMENTO CON RESPECTO A CERO X P(X) P(X)ac m1 m2 m3 m4 0 0.02 0.02 0 0 0 0 1 0.09 0.11 0.09 0.09 0.09 0.09 2 0.21 0.32 0.42 0.84 1.68 3.36 3 0.28 0.6 0.84 2.52 7.56 22.68 4 0.23 0.83 0.92 3.68 14.72 58.88 5 0.12 0.95 0.6 3 15 75 6 0.04 0.99 0.24 1.44 8.64 51.84 7 0.01 1 0.07 0.49 3.43 24.01 8 0 1 0 0 0 0 3.18 12.06 51.12 235.86 MOMENTOS RESPECTO AL CERO DISCRETA M1' 3.18 M M2' 12.06 M3' 51.12 M4' 235.86 VARIANZA 1.95 0 0.05 0.1 0.15 0.2 0.25 0.3 0 1 2 3 4 5 6 7 8 P(x) X GRAFICO DE DISPERCION
5. 5. MOMENTOS RESPECTO A LA MEDIA DISCRETA M3= 0.3825 M4= 10.565 COEFICIENTE DE SIMETRIA α3= 0.14071517 0.274082658 COEFICIENTE DE KURTOSIS α4= 2.785277284 0 0.2 0.4 0.6 0.8 1 1.2 0 1 2 3 4 5 6 7 8 9 P(x)ac X GRAFICO ACUMULADO
6. 6. Y P(Y) P(y)ac m1 m2 m3 m4 0 0.06 0.06 0 0 0 0 1 0.21 0.27 0.21 0.21 0.21 0.21 2 0.28 0.55 0.56 1.12 2.24 4.48 3 0.24 0.79 0.72 2.16 6.48 19.44 4 0.13 0.92 0.52 2.08 8.32 33.28 5 0.05 0.97 0.25 1.25 6.25 31.25 6 0.02 0.99 0.12 0.72 4.32 25.92 7 0.01 1 0.07 0.49 3.43 24.01 8 0 1 0 0 0 0 9 0 1 0 0 0 0 10 0 1 0 0 0 0 11 0 1 0 0 0 0 12 0 1 0 0 0 0 2.45 8.03 31.25 138.59 MOMENTOS RESPECTO AL CERO DISCRETA M1' 2.45 M M2' 8.03 M3' 31.25 M4' 138.59 VARIANZA 2.03
7. 7. 0 0.05 0.1 0.15 0.2 0.25 0.3 0 1 2 3 4 5 6 7 8 9 10 11 12 P(Y) Y GRAFICO DE DISPERCION 0 0.2 0.4 0.6 0.8 1 1.2 0 2 4 6 8 10 12 14 P(y)ac Y GRAFICO ACUMULADO
8. 8. MOMENTOS RESPECTO A LA MEDIA DISCRETA M3= 1.6418 M4= 13.450 COEFICIENTE DE SIMETRIA α3= 0.56867709 0.26862783 COEFICIENTE DE KURTOSIS α4= 3.27200895 4.- MODELO NORMAL Media 5 Varianza 2 X f(X) F(X) -5 7.4336E-07 2.86652E-07 -4 7.99187E-06 3.39767E-06 -3 6.69151E-05 3.16712E-05 -2 0.000436341 0.000232629 -1 0.002215924 0.001349898 0 0.00876415 0.006209665 1 0.026995483 0.022750132 2 0.064758798 0.066807201 3 0.120985362 0.158655254 4 0.176032663 0.308537539 5 0.19947114 0.5
9. 9. 0 0.05 0.1 0.15 0.2 0.25 -6 -4 -2 0 2 4 6 P(x) X GRAFICO DE DISPERCION 0 0.1 0.2 0.3 0.4 0.5 0.6 -6 -4 -2 0 2 4 6 F(x) X GRAFICO ACUMULADO
10. 10. PARA: Media 2 Varianza 0.5 X f(X) F(X) -5 2.19321E-43 7.79354E-45 -4 4.29277E-32 1.77648E-33 -3 1.53892E-22 7.61985E-24 -2 1.01045E-14 6.22096E-16 -1 1.21518E-08 9.86588E-10 0 0.00026766 3.16712E-05 1 0.107981933 0.022750132 2 0.797884561 0.5 3 0.107981933 0.977249868 4 0.00026766 0.999968329 5 1.21518E-08 0.999999999 -0.1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 -6 -4 -2 0 2 4 6 P(X) X GRAFICO DE DISPERCION
11. 11. PARA: Media 4 Varianza 1 X f(X) F(X) -5 1.02798E-18 1.12859E-19 -4 5.05227E-15 6.22096E-16 -3 9.13472E-12 1.27981E-12 -2 6.07588E-09 9.86588E-10 -1 1.48672E-06 2.86652E-07 0 0.00013383 3.16712E-05 1 0.004431848 0.001349898 2 0.053990967 0.022750132 3 0.241970725 0.158655254 4 0.39894228 0.5 5 0.241970725 0.841344746 -0.2 0 0.2 0.4 0.6 0.8 1 1.2 -6 -4 -2 0 2 4 6 F(X) X GRAFICO ACUMULADO
12. 12. -0.05 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 -6 -4 -2 0 2 4 6 P(X) X GRAFICO DE DISPERCION -0.1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 -6 -4 -2 0 2 4 6 F(X) X GRAFICO ACUMULADO
13. 13. 5.- MODELO ESTANDARIZADO Z f(z) F(z) -5 2.86652E-07 2.86652E-07 -4.5 3.11102E-06 3.39767E-06 -4 2.82736E-05 3.16712E-05 -3.5 0.000200958 0.000232629 -3 0.001117269 0.001349898 -2.5 0.004859767 0.006209665 -2 0.016540467 0.022750132 -1.5 0.044057069 0.066807201 -1 0.091848053 0.158655254 -0.5 0.149882285 0.308537539 0 0.191462461 0.5 0 0.05 0.1 0.15 0.2 0.25 -6 -5 -4 -3 -2 -1 0 P(z) Z GRAFICO DE DISPERCION
14. 14. 0 0.1 0.2 0.3 0.4 0.5 0.6 -6 -5 -4 -3 -2 -1 0 F(z) Z GRAFICO ACUMULADO

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