Saltar al contenido
la cuevadel empollón
Volver al examen completo

4.1

2,5 puntos
Bloque con optatividad 2

Resuelve sólo uno de los siguientes ejercicios:

Considera el sistema de ecuaciones {x+y+z=17x+3y+3z=15x−y−z=5\begin{cases}x+y+z=1\\7x+3y+3z=15\\x-y-z=5\end{cases}
a
Clasifícalo y resuélvelo, si es posible.1,5 pts
b
¿Existe alguna solución del sistema que verifique y+z+2=0y+z+2=0 ? Razona la respuesta.1 pt

Formulario

Mostrar
FUNCIÓN DE DISTRIBUCIÓN NORMAL N(0,1)N(0,1)
Distribución normal N(0,1) Área P(Z ≤ z) bajo la curva normal desde menos infinito hasta z, situado a la derecha de cero. N(0,1) P(Z ≤ z) −∞ 0 z +∞
zz0,000,01
0,00,50000,5040
0,10,53980,5438
0,20,57930,5832
0,30,61790,6217
0,40,65540,6591
0,50,69150,6950
0,60,72570,7291
0,70,75800,7611
0,80,78810,7910
0,90,81590,8186
1,00,84130,8438
1,10,86430,8665
1,20,88490,8869
1,30,90320,9049
1,40,91920,9207
1,50,93320,9345
1,60,94520,9463
1,70,95540,9564
1,80,96410,9649
1,90,97130,9719
2,00,97720,9778
2,10,98210,9826
2,20,98610,9864
2,30,98930,9896
2,40,99180,9920
2,50,99380,9940
2,60,99530,9955
2,70,996530,99664
2,80,997440,99752
2,90,998130,99819
3,00,998650,99869
3,10,999030,99906
3,20,999310,99934
3,30,999520,99953
3,40,999660,99968
3,50,999770,99978
3,60,999840,99985
3,70,999890,99990
3,80,999930,99993
3,90,999950,99995
4,00,999970,99997
zz0,020,03
0,00,50800,5120
0,10,54780,5517
0,20,58710,5910
0,30,62550,6293
0,40,66280,6664
0,50,69850,7019
0,60,73240,7357
0,70,76420,7673
0,80,79390,7967
0,90,82120,8238
1,00,84610,8485
1,10,86860,8708
1,20,88880,8907
1,30,90660,9082
1,40,92220,9236
1,50,93570,9370
1,60,94740,9484
1,70,95730,9582
1,80,96560,9664
1,90,97260,9732
2,00,97830,9788
2,10,98300,9834
2,20,98680,9871
2,30,98980,9901
2,40,99220,9925
2,50,99410,9943
2,60,99560,9957
2,70,996740,99683
2,80,997600,99767
2,90,998250,99831
3,00,998740,99878
3,10,999100,99913
3,20,999360,99938
3,30,999550,99957
3,40,999690,99970
3,50,999780,99979
3,60,999850,99986
3,70,999900,99990
3,80,999930,99994
3,90,999960,99996
4,00,999970,99997
zz0,040,05
0,00,51600,5199
0,10,55570,5596
0,20,59480,5987
0,30,63310,6368
0,40,67000,6736
0,50,70540,7088
0,60,73890,7422
0,70,77040,7734
0,80,79950,8023
0,90,82640,8289
1,00,85080,8531
1,10,87290,8749
1,20,89250,8944
1,30,90990,9115
1,40,92510,9265
1,50,93820,9394
1,60,94950,9505
1,70,95910,9599
1,80,96710,9678
1,90,97380,9744
2,00,97930,9798
2,10,98380,9842
2,20,98750,9878
2,30,99040,9906
2,40,99270,9929
2,50,99450,9946
2,60,99590,9960
2,70,996930,99702
2,80,997740,99781
2,90,998360,99841
3,00,998820,99886
3,10,999160,99918
3,20,999400,99942
3,30,999580,99960
3,40,999710,99972
3,50,999800,99981
3,60,999860,99987
3,70,999910,99991
3,80,999940,99994
3,90,999960,99996
4,00,999970,99997
zz0,060,07
0,00,52390,5279
0,10,56360,5675
0,20,60260,6064
0,30,64060,6443
0,40,67720,6808
0,50,71230,7157
0,60,74540,7486
0,70,77640,7794
0,80,80510,8078
0,90,83150,8340
1,00,85540,8577
1,10,87700,8790
1,20,89620,8980
1,30,91310,9147
1,40,92790,9292
1,50,94060,9418
1,60,95150,9525
1,70,96080,9616
1,80,96860,9693
1,90,97500,9756
2,00,98030,9808
2,10,98460,9850
2,20,98810,9884
2,30,99090,9911
2,40,99310,9932
2,50,99480,9949
2,60,99610,9962
2,70,997110,99720
2,80,997880,99795
2,90,998460,99851
3,00,998890,99893
3,10,999210,99924
3,20,999440,99946
3,30,999610,99962
3,40,999730,99974
3,50,999810,99982
3,60,999870,99988
3,70,999920,99992
3,80,999940,99995
3,90,999960,99996
4,00,999980,99998
zz0,080,09
0,00,53190,5359
0,10,57140,5753
0,20,61030,6141
0,30,64800,6517
0,40,68440,6879
0,50,71900,7224
0,60,75170,7549
0,70,78230,7852
0,80,81060,8133
0,90,83650,8389
1,00,85990,8621
1,10,88100,8830
1,20,89970,9015
1,30,91620,9177
1,40,93060,9319
1,50,94290,9441
1,60,95350,9545
1,70,96250,9633
1,80,96990,9706
1,90,97610,9767
2,00,98120,9817
2,10,98540,9857
2,20,98870,9890
2,30,99130,9916
2,40,99340,9936
2,50,99510,9952
2,60,99630,9964
2,70,997280,99736
2,80,998010,99807
2,90,998560,99861
3,00,998960,99900
3,10,999260,99929
3,20,999480,99950
3,30,999640,99965
3,40,999750,99976
3,50,999830,99983
3,60,999880,99989
3,70,999920,99992
3,80,999950,99995
3,90,999970,99997
4,00,999980,99998
Nota: En el interior de la tabla se da la probabilidad de que la variable aleatoria ZZ, con distribución N(0,1)N(0,1), esté por debajo del valor zz.