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Tablas de distribución normal acumulada |
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Esta tabla te muestra los valores de la probabilidad acumulada de z
P(z<z0)
Conoce también
Calculadora de la
función de densidad de probabilidad de la distribución
normal estándar.
Tabla de distribución normal estándar por intervalos.
Ejercicios de la
función de densidad de probabilidad de la distribución
normal estándar.
Esperamos que te sean muy útiles. |
Valores positivos de z
Normal |
0 |
0.01 |
0.02 |
0.03 |
0.04 |
0.05 |
0.06 |
0.07 |
0.08 |
0.09 |
0 |
0.5 |
0.503989356 |
0.507978314 |
0.511966473 |
0.515953437 |
0.519938806 |
0.523922183 |
0.52790317 |
0.531881372 |
0.535856393 |
0.1 |
0.539827837 |
0.543795313 |
0.547758426 |
0.551716787 |
0.555670005 |
0.559617692 |
0.563559463 |
0.567494932 |
0.571423716 |
0.575345435 |
0.2 |
0.579259709 |
0.583166163 |
0.587064423 |
0.590954115 |
0.594834872 |
0.598706326 |
0.602568113 |
0.606419873 |
0.610261248 |
0.614091881 |
0.3 |
0.617911422 |
0.621719522 |
0.625515835 |
0.629300019 |
0.633071736 |
0.636830651 |
0.640576433 |
0.644308755 |
0.648027292 |
0.651731727 |
0.4 |
0.655421742 |
0.659097026 |
0.662757273 |
0.666402179 |
0.670031446 |
0.67364478 |
0.67724189 |
0.680822491 |
0.684386303 |
0.687933051 |
0.5 |
0.691462461 |
0.694974269 |
0.698468212 |
0.701944035 |
0.705401484 |
0.708840313 |
0.712260281 |
0.715661151 |
0.719042691 |
0.722404675 |
0.6 |
0.725746882 |
0.729069096 |
0.732371107 |
0.735652708 |
0.7389137 |
0.742153889 |
0.745373085 |
0.748571105 |
0.75174777 |
0.754902906 |
0.7 |
0.758036348 |
0.761147932 |
0.764237502 |
0.767304908 |
0.770350003 |
0.773372648 |
0.776372708 |
0.779350054 |
0.782304562 |
0.785236116 |
0.8 |
0.788144601 |
0.791029912 |
0.793891946 |
0.796730608 |
0.799545807 |
0.802337457 |
0.805105479 |
0.807849798 |
0.810570345 |
0.813267057 |
0.9 |
0.815939875 |
0.818588745 |
0.82121362 |
0.823814458 |
0.82639122 |
0.828943874 |
0.831472393 |
0.833976754 |
0.836456941 |
0.83891294 |
1 |
0.841344746 |
0.843752355 |
0.84613577 |
0.848494997 |
0.85083005 |
0.853140944 |
0.8554277 |
0.857690346 |
0.85992891 |
0.862143428 |
1.1 |
0.864333939 |
0.866500487 |
0.868643119 |
0.870761888 |
0.872856849 |
0.874928064 |
0.876975597 |
0.878999516 |
0.880999893 |
0.882976804 |
1.2 |
0.88493033 |
0.886860554 |
0.888767563 |
0.890651448 |
0.892512303 |
0.894350226 |
0.896165319 |
0.897957685 |
0.899727432 |
0.901474671 |
1.3 |
0.903199515 |
0.904902082 |
0.906582491 |
0.908240864 |
0.909877328 |
0.911492009 |
0.913085038 |
0.914656549 |
0.916206678 |
0.917735561 |
1.4 |
0.919243341 |
0.920730159 |
0.922196159 |
0.92364149 |
0.9250663 |
0.92647074 |
0.927854963 |
0.929219123 |
0.930563377 |
0.931887882 |
1.5 |
0.933192799 |
0.934478288 |
0.935744512 |
0.936991636 |
0.938219823 |
0.939429242 |
0.940620059 |
0.941792444 |
0.942946567 |
0.944082597 |
1.6 |
0.945200708 |
0.946301072 |
0.947383862 |
0.948449252 |
0.949497417 |
0.950528532 |
0.951542774 |
0.952540318 |
0.953521342 |
0.954486023 |
1.7 |
0.955434537 |
0.956367063 |
0.957283779 |
0.958184862 |
0.959070491 |
0.959940843 |
0.960796097 |
0.96163643 |
0.96246202 |
0.963273044 |
1.8 |
0.964069681 |
0.964852106 |
0.965620498 |
0.966375031 |
0.967115881 |
0.967843225 |
0.968557237 |
0.969258091 |
0.969945961 |
0.97062102 |
1.9 |
0.97128344 |
0.971933393 |
0.97257105 |
0.973196581 |
0.973810155 |
0.97441194 |
0.975002105 |
0.975580815 |
0.976148236 |
0.976704532 |
2 |
0.977249868 |
0.977784406 |
0.978308306 |
0.97882173 |
0.979324837 |
0.979817785 |
0.98030073 |
0.980773828 |
0.981237234 |
0.9816911 |
2.1 |
0.982135579 |
0.982570822 |
0.982996977 |
0.983414193 |
0.983822617 |
0.984222393 |
0.984613665 |
0.984996577 |
0.985371269 |
0.985737882 |
2.2 |
0.986096552 |
0.986447419 |
0.986790616 |
0.987126279 |
0.987454539 |
0.987775527 |
0.988089375 |
0.988396208 |
0.988696156 |
0.988989342 |
2.3 |
0.98927589 |
0.989555923 |
0.989829561 |
0.990096924 |
0.99035813 |
0.990613294 |
0.990862532 |
0.991105957 |
0.991343681 |
0.991575814 |
2.4 |
0.991802464 |
0.99202374 |
0.992239746 |
0.992450589 |
0.992656369 |
0.992857189 |
0.993053149 |
0.993244347 |
0.993430881 |
0.993612845 |
2.5 |
0.993790335 |
0.993963442 |
0.994132258 |
0.994296874 |
0.994457377 |
0.994613854 |
0.994766392 |
0.994915074 |
0.995059984 |
0.995201203 |
2.6 |
0.995338812 |
0.995472889 |
0.995603512 |
0.995730757 |
0.995854699 |
0.995975411 |
0.996092967 |
0.996207438 |
0.996318892 |
0.996427399 |
2.7 |
0.996533026 |
0.99663584 |
0.996735904 |
0.996833284 |
0.996928041 |
0.997020237 |
0.997109932 |
0.997197185 |
0.997282055 |
0.997364598 |
2.8 |
0.99744487 |
0.997522925 |
0.997598818 |
0.9976726 |
0.997744323 |
0.997814039 |
0.997881795 |
0.997947641 |
0.998011624 |
0.998073791 |
2.9 |
0.998134187 |
0.998192856 |
0.998249843 |
0.99830519 |
0.998358939 |
0.99841113 |
0.998461805 |
0.998511001 |
0.998558758 |
0.998605113 |
3 |
0.998650102 |
0.998693762 |
0.998736127 |
0.998777231 |
0.998817109 |
0.998855793 |
0.998893315 |
0.998929706 |
0.998964997 |
0.998999218 |
3.1 |
0.999032397 |
0.999064563 |
0.999095745 |
0.999125968 |
0.999155261 |
0.999183648 |
0.999211154 |
0.999237805 |
0.999263625 |
0.999288636 |
3.2 |
0.999312862 |
0.999336325 |
0.999359047 |
0.999381049 |
0.999402352 |
0.999422975 |
0.999442939 |
0.999462263 |
0.999480965 |
0.999499063 |
3.3 |
0.999516576 |
0.99953352 |
0.999549913 |
0.99956577 |
0.999581108 |
0.999595942 |
0.999610288 |
0.999624159 |
0.999637571 |
0.999650537 |
3.4 |
0.999663071 |
0.999675186 |
0.999686894 |
0.999698209 |
0.999709143 |
0.999719707 |
0.999729912 |
0.999739771 |
0.999749293 |
0.99975849 |
3.5 |
0.999767371 |
0.999775947 |
0.999784227 |
0.99979222 |
0.999799936 |
0.999807384 |
0.999814573 |
0.999821509 |
0.999828203 |
0.999834661 |
3.6 |
0.999840891 |
0.999846901 |
0.999852698 |
0.999858289 |
0.999863681 |
0.99986888 |
0.999873892 |
0.999878725 |
0.999883383 |
0.999887873 |
3.7 |
0.9998922 |
0.99989637 |
0.999900389 |
0.99990426 |
0.99990799 |
0.999911583 |
0.999915043 |
0.999918376 |
0.999921586 |
0.999924676 |
3.8 |
0.999927652 |
0.999930517 |
0.999933274 |
0.999935928 |
0.999938483 |
0.999940941 |
0.999943306 |
0.999945582 |
0.999947772 |
0.999949878 |
3.9 |
0.999951904 |
0.999953852 |
0.999955726 |
0.999957527 |
0.999959259 |
0.999960924 |
0.999962525 |
0.999964064 |
0.999965542 |
0.999966963 |
4 |
0.999968329 |
0.999969641 |
0.999970901 |
0.999972112 |
0.999973274 |
0.999974391 |
0.999975464 |
0.999976493 |
0.999977482 |
0.999978431 |
4.1 |
0.999979342 |
0.999980217 |
0.999981056 |
0.999981862 |
0.999982635 |
0.999983376 |
0.999984088 |
0.99998477 |
0.999985425 |
0.999986052 |
4.2 |
0.999986654 |
0.999987231 |
0.999987785 |
0.999988315 |
0.999988824 |
0.999989311 |
0.999989779 |
0.999990226 |
0.999990655 |
0.999991066 |
4.3 |
0.99999146 |
0.999991837 |
0.999992199 |
0.999992545 |
0.999992876 |
0.999993193 |
0.999993497 |
0.999993788 |
0.999994066 |
0.999994332 |
4.4 |
0.999994587 |
0.999994831 |
0.999995065 |
0.999995288 |
0.999995502 |
0.999995706 |
0.999995902 |
0.999996089 |
0.999996268 |
0.999996439 |
4.5 |
0.999996602 |
0.999996759 |
0.999996908 |
0.999997051 |
0.999997187 |
0.999997318 |
0.999997442 |
0.999997561 |
0.999997675 |
0.999997784 |
4.6 |
0.999997888 |
0.999997987 |
0.999998081 |
0.999998172 |
0.999998258 |
0.99999834 |
0.999998419 |
0.999998494 |
0.999998566 |
0.999998634 |
4.7 |
0.999998699 |
0.999998761 |
0.999998821 |
0.999998877 |
0.999998931 |
0.999998983 |
0.999999032 |
0.999999079 |
0.999999124 |
0.999999166 |
4.8 |
0.999999207 |
0.999999245 |
0.999999282 |
0.999999317 |
0.999999351 |
0.999999383 |
0.999999413 |
0.999999442 |
0.99999947 |
0.999999496 |
4.9 |
0.999999521 |
0.999999545 |
0.999999567 |
0.999999589 |
0.999999609 |
0.999999629 |
0.999999648 |
0.999999665 |
0.999999682 |
0.999999698 |
5 |
0.999999713 |
0.999999728 |
0.999999742 |
0.999999755 |
0.999999767 |
0.999999779 |
0.99999979 |
0.999999801 |
0.999999811 |
0.999999821 |
5.1 |
0.99999983 |
0.999999839 |
0.999999847 |
0.999999855 |
0.999999863 |
0.99999987 |
0.999999877 |
0.999999883 |
0.999999889 |
0.999999895 |
5.2 |
0.9999999 |
0.999999906 |
0.999999911 |
0.999999915 |
0.99999992 |
0.999999924 |
0.999999928 |
0.999999932 |
0.999999935 |
0.999999939 |
5.3 |
0.999999942 |
0.999999945 |
0.999999948 |
0.999999951 |
0.999999954 |
0.999999956 |
0.999999958 |
0.999999961 |
0.999999963 |
0.999999965 |
5.4 |
0.999999967 |
0.999999968 |
0.99999997 |
0.999999972 |
0.999999973 |
0.999999975 |
0.999999976 |
0.999999977 |
0.999999979 |
0.99999998 |
5.5 |
0.999999981 |
0.999999982 |
0.999999983 |
0.999999984 |
0.999999985 |
0.999999986 |
0.999999987 |
0.999999987 |
0.999999988 |
0.999999989 |
5.6 |
0.999999989 |
0.99999999 |
0.99999999 |
0.999999991 |
0.999999991 |
0.999999992 |
0.999999992 |
0.999999993 |
0.999999993 |
0.999999994 |
5.7 |
0.999999994 |
0.999999994 |
0.999999995 |
0.999999995 |
0.999999995 |
0.999999996 |
0.999999996 |
0.999999996 |
0.999999996 |
0.999999996 |
5.8 |
0.999999997 |
0.999999997 |
0.999999997 |
0.999999997 |
0.999999997 |
0.999999998 |
0.999999998 |
0.999999998 |
0.999999998 |
0.999999998 |
5.9 |
0.999999998 |
0.999999998 |
0.999999998 |
0.999999998 |
0.999999999 |
0.999999999 |
0.999999999 |
0.999999999 |
0.999999999 |
0.999999999 |
6 |
0.999999999 |
0.999999999 |
0.999999999 |
0.999999999 |
0.999999999 |
0.999999999 |
0.999999999 |
0.999999999 |
0.999999999 |
0.999999999 |
Para valores negativos de z
Normal |
0 |
0.01 |
0.02 |
0.03 |
0.04 |
0.05 |
0.06 |
0.07 |
0.08 |
0.09 |
0 |
0.5 |
0.496010644 |
0.492021686 |
0.488033527 |
0.484046563 |
0.480061194 |
0.476077817 |
0.47209683 |
0.468118628 |
0.464143607 |
-0.1 |
0.460172163 |
0.456204687 |
0.452241574 |
0.448283213 |
0.444329995 |
0.440382308 |
0.436440537 |
0.432505068 |
0.428576284 |
0.424654565 |
-0.2 |
0.420740291 |
0.416833837 |
0.412935577 |
0.409045885 |
0.405165128 |
0.401293674 |
0.397431887 |
0.393580127 |
0.389738752 |
0.385908119 |
-0.3 |
0.382088578 |
0.378280478 |
0.374484165 |
0.370699981 |
0.366928264 |
0.363169349 |
0.359423567 |
0.355691245 |
0.351972708 |
0.348268273 |
-0.4 |
0.344578258 |
0.340902974 |
0.337242727 |
0.333597821 |
0.329968554 |
0.32635522 |
0.32275811 |
0.319177509 |
0.315613697 |
0.312066949 |
-0.5 |
0.308537539 |
0.305025731 |
0.301531788 |
0.298055965 |
0.294598516 |
0.291159687 |
0.287739719 |
0.284338849 |
0.280957309 |
0.277595325 |
-0.6 |
0.274253118 |
0.270930904 |
0.267628893 |
0.264347292 |
0.2610863 |
0.257846111 |
0.254626915 |
0.251428895 |
0.24825223 |
0.245097094 |
-0.7 |
0.241963652 |
0.238852068 |
0.235762498 |
0.232695092 |
0.229649997 |
0.226627352 |
0.223627292 |
0.220649946 |
0.217695438 |
0.214763884 |
-0.8 |
0.211855399 |
0.208970088 |
0.206108054 |
0.203269392 |
0.200454193 |
0.197662543 |
0.194894521 |
0.192150202 |
0.189429655 |
0.186732943 |
-0.9 |
0.184060125 |
0.181411255 |
0.17878638 |
0.176185542 |
0.17360878 |
0.171056126 |
0.168527607 |
0.166023246 |
0.163543059 |
0.16108706 |
-1 |
0.158655254 |
0.156247645 |
0.15386423 |
0.151505003 |
0.14916995 |
0.146859056 |
0.1445723 |
0.142309654 |
0.14007109 |
0.137856572 |
-1.1 |
0.135666061 |
0.133499513 |
0.131356881 |
0.129238112 |
0.127143151 |
0.125071936 |
0.123024403 |
0.121000484 |
0.119000107 |
0.117023196 |
-1.2 |
0.11506967 |
0.113139446 |
0.111232437 |
0.109348552 |
0.107487697 |
0.105649774 |
0.103834681 |
0.102042315 |
0.100272568 |
0.098525329 |
-1.3 |
0.096800485 |
0.095097918 |
0.093417509 |
0.091759136 |
0.090122672 |
0.088507991 |
0.086914962 |
0.085343451 |
0.083793322 |
0.082264439 |
-1.4 |
0.080756659 |
0.079269841 |
0.077803841 |
0.07635851 |
0.0749337 |
0.07352926 |
0.072145037 |
0.070780877 |
0.069436623 |
0.068112118 |
-1.5 |
0.066807201 |
0.065521712 |
0.064255488 |
0.063008364 |
0.061780177 |
0.060570758 |
0.059379941 |
0.058207556 |
0.057053433 |
0.055917403 |
-1.6 |
0.054799292 |
0.053698928 |
0.052616138 |
0.051550748 |
0.050502583 |
0.049471468 |
0.048457226 |
0.047459682 |
0.046478658 |
0.045513977 |
-1.7 |
0.044565463 |
0.043632937 |
0.042716221 |
0.041815138 |
0.040929509 |
0.040059157 |
0.039203903 |
0.03836357 |
0.03753798 |
0.036726956 |
-1.8 |
0.035930319 |
0.035147894 |
0.034379502 |
0.033624969 |
0.032884119 |
0.032156775 |
0.031442763 |
0.030741909 |
0.030054039 |
0.02937898 |
-1.9 |
0.02871656 |
0.028066607 |
0.02742895 |
0.026803419 |
0.026189845 |
0.02558806 |
0.024997895 |
0.024419185 |
0.023851764 |
0.023295468 |
-2 |
0.022750132 |
0.022215594 |
0.021691694 |
0.02117827 |
0.020675163 |
0.020182215 |
0.01969927 |
0.019226172 |
0.018762766 |
0.0183089 |
-2.1 |
0.017864421 |
0.017429178 |
0.017003023 |
0.016585807 |
0.016177383 |
0.015777607 |
0.015386335 |
0.015003423 |
0.014628731 |
0.014262118 |
-2.2 |
0.013903448 |
0.013552581 |
0.013209384 |
0.012873721 |
0.012545461 |
0.012224473 |
0.011910625 |
0.011603792 |
0.011303844 |
0.011010658 |
-2.3 |
0.01072411 |
0.010444077 |
0.010170439 |
0.009903076 |
0.00964187 |
0.009386706 |
0.009137468 |
0.008894043 |
0.008656319 |
0.008424186 |
-2.4 |
0.008197536 |
0.00797626 |
0.007760254 |
0.007549411 |
0.007343631 |
0.007142811 |
0.006946851 |
0.006755653 |
0.006569119 |
0.006387155 |
-2.5 |
0.006209665 |
0.006036558 |
0.005867742 |
0.005703126 |
0.005542623 |
0.005386146 |
0.005233608 |
0.005084926 |
0.004940016 |
0.004798797 |
-2.6 |
0.004661188 |
0.004527111 |
0.004396488 |
0.004269243 |
0.004145301 |
0.004024589 |
0.003907033 |
0.003792562 |
0.003681108 |
0.003572601 |
-2.7 |
0.003466974 |
0.00336416 |
0.003264096 |
0.003166716 |
0.003071959 |
0.002979763 |
0.002890068 |
0.002802815 |
0.002717945 |
0.002635402 |
-2.8 |
0.00255513 |
0.002477075 |
0.002401182 |
0.0023274 |
0.002255677 |
0.002185961 |
0.002118205 |
0.002052359 |
0.001988376 |
0.001926209 |
-2.9 |
0.001865813 |
0.001807144 |
0.001750157 |
0.00169481 |
0.001641061 |
0.00158887 |
0.001538195 |
0.001488999 |
0.001441242 |
0.001394887 |
-3 |
0.001349898 |
0.001306238 |
0.001263873 |
0.001222769 |
0.001182891 |
0.001144207 |
0.001106685 |
0.001070294 |
0.001035003 |
0.001000782 |
-3.1 |
0.000967603 |
0.000935437 |
0.000904255 |
0.000874032 |
0.000844739 |
0.000816352 |
0.000788846 |
0.000762195 |
0.000736375 |
0.000711364 |
-3.2 |
0.000687138 |
0.000663675 |
0.000640953 |
0.000618951 |
0.000597648 |
0.000577025 |
0.000557061 |
0.000537737 |
0.000519035 |
0.000500937 |
-3.3 |
0.000483424 |
0.00046648 |
0.000450087 |
0.00043423 |
0.000418892 |
0.000404058 |
0.000389712 |
0.000375841 |
0.000362429 |
0.000349463 |
-3.4 |
0.000336929 |
0.000324814 |
0.000313106 |
0.000301791 |
0.000290857 |
0.000280293 |
0.000270088 |
0.000260229 |
0.000250707 |
0.00024151 |
-3.5 |
0.000232629 |
0.000224053 |
0.000215773 |
0.00020778 |
0.000200064 |
0.000192616 |
0.000185427 |
0.000178491 |
0.000171797 |
0.000165339 |
-3.6 |
0.000159109 |
0.000153099 |
0.000147302 |
0.000141711 |
0.000136319 |
0.00013112 |
0.000126108 |
0.000121275 |
0.000116617 |
0.000112127 |
-3.7 |
0.0001078 |
0.00010363 |
9.96114E-05 |
9.57399E-05 |
9.20101E-05 |
8.84173E-05 |
8.49567E-05 |
8.16238E-05 |
7.84142E-05 |
7.53236E-05 |
-3.8 |
7.2348E-05 |
6.94834E-05 |
6.67258E-05 |
6.40716E-05 |
6.15172E-05 |
5.90589E-05 |
5.66935E-05 |
5.44177E-05 |
5.22282E-05 |
5.01221E-05 |
-3.9 |
4.80963E-05 |
4.61481E-05 |
4.42745E-05 |
4.24729E-05 |
4.07408E-05 |
3.90756E-05 |
3.74749E-05 |
3.59363E-05 |
3.44576E-05 |
3.30366E-05 |
-4 |
3.16712E-05 |
3.03594E-05 |
2.90991E-05 |
2.78884E-05 |
2.67256E-05 |
2.56088E-05 |
2.45364E-05 |
2.35066E-05 |
2.25179E-05 |
2.15687E-05 |
-4.1 |
2.06575E-05 |
1.9783E-05 |
1.89436E-05 |
1.81382E-05 |
1.73653E-05 |
1.66238E-05 |
1.59124E-05 |
1.523E-05 |
1.45755E-05 |
1.39477E-05 |
-4.2 |
1.33457E-05 |
1.27685E-05 |
1.22151E-05 |
1.16846E-05 |
1.1176E-05 |
1.06885E-05 |
1.02213E-05 |
9.77365E-06 |
9.34467E-06 |
8.93366E-06 |
-4.3 |
8.53991E-06 |
8.16273E-06 |
7.80146E-06 |
7.45547E-06 |
7.12414E-06 |
6.80688E-06 |
6.50312E-06 |
6.21233E-06 |
5.93397E-06 |
5.66753E-06 |
-4.4 |
5.41254E-06 |
5.16853E-06 |
4.93505E-06 |
4.71165E-06 |
4.49794E-06 |
4.29351E-06 |
4.09798E-06 |
3.91098E-06 |
3.73215E-06 |
3.56116E-06 |
-4.5 |
3.39767E-06 |
3.24138E-06 |
3.09198E-06 |
2.94918E-06 |
2.81271E-06 |
2.6823E-06 |
2.55768E-06 |
2.43862E-06 |
2.32488E-06 |
2.21623E-06 |
-4.6 |
2.11245E-06 |
2.01334E-06 |
1.9187E-06 |
1.82833E-06 |
1.74205E-06 |
1.65968E-06 |
1.58105E-06 |
1.506E-06 |
1.43437E-06 |
1.36603E-06 |
-4.7 |
1.30081E-06 |
1.23858E-06 |
1.17922E-06 |
1.1226E-06 |
1.06859E-06 |
1.01708E-06 |
9.67965E-07 |
9.2113E-07 |
8.76476E-07 |
8.33907E-07 |
-4.8 |
7.93328E-07 |
7.54652E-07 |
7.17791E-07 |
6.82666E-07 |
6.49196E-07 |
6.17307E-07 |
5.86929E-07 |
5.57991E-07 |
5.30429E-07 |
5.0418E-07 |
-4.9 |
4.79183E-07 |
4.55382E-07 |
4.32721E-07 |
4.11148E-07 |
3.90613E-07 |
3.71068E-07 |
3.52466E-07 |
3.34765E-07 |
3.17922E-07 |
3.01897E-07 |
-5 |
2.86652E-07 |
2.7215E-07 |
2.58357E-07 |
2.4524E-07 |
2.32766E-07 |
2.20905E-07 |
2.09628E-07 |
1.98908E-07 |
1.88717E-07 |
1.79032E-07 |
-5.1 |
1.69827E-07 |
1.61079E-07 |
1.52768E-07 |
1.44871E-07 |
1.37369E-07 |
1.30243E-07 |
1.23475E-07 |
1.17047E-07 |
1.10943E-07 |
1.05147E-07 |
-5.2 |
9.96443E-08 |
9.44203E-08 |
8.94616E-08 |
8.4755E-08 |
8.02883E-08 |
7.60496E-08 |
7.20277E-08 |
6.82119E-08 |
6.45919E-08 |
6.11582E-08 |
-5.3 |
5.79013E-08 |
5.48126E-08 |
5.18836E-08 |
4.91064E-08 |
4.64733E-08 |
4.39771E-08 |
4.1611E-08 |
3.93683E-08 |
3.72429E-08 |
3.52288E-08 |
-5.4 |
3.33204E-08 |
3.15124E-08 |
2.97995E-08 |
2.8177E-08 |
2.66403E-08 |
2.51849E-08 |
2.38067E-08 |
2.25018E-08 |
2.12663E-08 |
2.00967E-08 |
-5.5 |
1.89896E-08 |
1.79417E-08 |
1.695E-08 |
1.60115E-08 |
1.51236E-08 |
1.42835E-08 |
1.34887E-08 |
1.2737E-08 |
1.20259E-08 |
1.13535E-08 |
-5.6 |
1.07176E-08 |
1.01163E-08 |
9.54787E-09 |
9.01048E-09 |
8.50251E-09 |
8.02239E-09 |
7.56865E-09 |
7.13988E-09 |
6.73474E-09 |
6.35197E-09 |
-5.7 |
5.99037E-09 |
5.64881E-09 |
5.3262E-09 |
5.02153E-09 |
4.73383E-09 |
4.46217E-09 |
4.2057E-09 |
3.96358E-09 |
3.73503E-09 |
3.51932E-09 |
-5.8 |
3.31575E-09 |
3.12364E-09 |
2.94238E-09 |
2.77137E-09 |
2.61004E-09 |
2.45787E-09 |
2.31434E-09 |
2.17898E-09 |
2.05133E-09 |
1.93098E-09 |
-5.9 |
1.81751E-09 |
1.71054E-09 |
1.60971E-09 |
1.51467E-09 |
1.42511E-09 |
1.34071E-09 |
1.26119E-09 |
1.18627E-09 |
1.11569E-09 |
1.04921E-09 |
-6 |
9.86588E-10 |
9.27617E-10 |
8.72085E-10 |
8.19798E-10 |
7.70571E-10 |
7.24229E-10 |
6.80608E-10 |
6.39551E-10 |
6.00913E-10 |
5.64553E-10 |
Para intervalos P(-|z|<z0<|z|)
Intervalos |
0 |
0.01 |
0.02 |
0.03 |
0.04 |
0.05 |
0.06 |
0.07 |
0.08 |
0.09 |
0 |
0 |
0.00797871 |
0.01595663 |
0.02393295 |
0.03190687 |
0.03987761 |
0.04784437 |
0.05580634 |
0.06376274 |
0.07171279 |
0.1 |
0.07965567 |
0.08759063 |
0.09551685 |
0.10343357 |
0.11134001 |
0.11923538 |
0.12711893 |
0.13498986 |
0.14284743 |
0.15069087 |
0.2 |
0.15851942 |
0.16633233 |
0.17412885 |
0.18190823 |
0.18966974 |
0.19741265 |
0.20513623 |
0.21283975 |
0.2205225 |
0.22818376 |
0.3 |
0.23582284 |
0.24343904 |
0.25103167 |
0.25860004 |
0.26614347 |
0.2736613 |
0.28115287 |
0.28861751 |
0.29605458 |
0.30346345 |
0.4 |
0.31084348 |
0.31819405 |
0.32551455 |
0.33280436 |
0.34006289 |
0.34728956 |
0.35448378 |
0.36164498 |
0.36877261 |
0.3758661 |
0.5 |
0.38292492 |
0.38994854 |
0.39693642 |
0.40388807 |
0.41080297 |
0.41768063 |
0.42452056 |
0.4313223 |
0.43808538 |
0.44480935 |
0.6 |
0.45149376 |
0.45813819 |
0.46474221 |
0.47130542 |
0.4778274 |
0.48430778 |
0.49074617 |
0.49714221 |
0.50349554 |
0.50980581 |
0.7 |
0.5160727 |
0.52229586 |
0.528475 |
0.53460982 |
0.54070001 |
0.5467453 |
0.55274542 |
0.55870011 |
0.56460912 |
0.57047223 |
0.8 |
0.5762892 |
0.58205982 |
0.58778389 |
0.59346122 |
0.59909161 |
0.60467491 |
0.61021096 |
0.6156996 |
0.62114069 |
0.62653411 |
0.9 |
0.63187975 |
0.63717749 |
0.64242724 |
0.64762892 |
0.65278244 |
0.65788775 |
0.66294479 |
0.66795351 |
0.67291388 |
0.67782588 |
1 |
0.68268949 |
0.68750471 |
0.69227154 |
0.69698999 |
0.7016601 |
0.70628189 |
0.7108554 |
0.71538069 |
0.71985782 |
0.72428686 |
1.1 |
0.72866788 |
0.73300097 |
0.73728624 |
0.74152378 |
0.7457137 |
0.74985613 |
0.75395119 |
0.75799903 |
0.76199979 |
0.76595361 |
1.2 |
0.76986066 |
0.77372111 |
0.77753513 |
0.7813029 |
0.78502461 |
0.78870045 |
0.79233064 |
0.79591537 |
0.79945486 |
0.80294934 |
1.3 |
0.80639903 |
0.80980416 |
0.81316498 |
0.81648173 |
0.81975466 |
0.82298402 |
0.82617008 |
0.8293131 |
0.83241336 |
0.83547112 |
1.4 |
0.83848668 |
0.84146032 |
0.84439232 |
0.84728298 |
0.8501326 |
0.85294148 |
0.85570993 |
0.85843825 |
0.86112675 |
0.86377576 |
1.5 |
0.8663856 |
0.86895658 |
0.87148902 |
0.87398327 |
0.87643965 |
0.87885848 |
0.88124012 |
0.88358489 |
0.88589313 |
0.88816519 |
1.6 |
0.89040142 |
0.89260214 |
0.89476772 |
0.8968985 |
0.89899483 |
0.90105706 |
0.90308555 |
0.90508064 |
0.90704268 |
0.90897205 |
1.7 |
0.91086907 |
0.91273413 |
0.91456756 |
0.91636972 |
0.91814098 |
0.91988169 |
0.92159219 |
0.92327286 |
0.92492404 |
0.92654609 |
1.8 |
0.92813936 |
0.92970421 |
0.931241 |
0.93275006 |
0.93423176 |
0.93568645 |
0.93711447 |
0.93851618 |
0.93989192 |
0.94124204 |
1.9 |
0.94256688 |
0.94386679 |
0.9451421 |
0.94639316 |
0.94762031 |
0.94882388 |
0.95000421 |
0.95116163 |
0.95229647 |
0.95340906 |
2 |
0.95449974 |
0.95556881 |
0.95661661 |
0.95764346 |
0.95864967 |
0.95963557 |
0.96060146 |
0.96154766 |
0.96247447 |
0.9633822 |
2.1 |
0.96427116 |
0.96514164 |
0.96599395 |
0.96682839 |
0.96764523 |
0.96844479 |
0.96922733 |
0.96999315 |
0.97074254 |
0.97147576 |
2.2 |
0.9721931 |
0.97289484 |
0.97358123 |
0.97425256 |
0.97490908 |
0.97555105 |
0.97617875 |
0.97679242 |
0.97739231 |
0.97797868 |
2.3 |
0.97855178 |
0.97911185 |
0.97965912 |
0.98019385 |
0.98071626 |
0.98122659 |
0.98172506 |
0.98221191 |
0.98268736 |
0.98315163 |
2.4 |
0.98360493 |
0.98404748 |
0.98447949 |
0.98490118 |
0.98531274 |
0.98571438 |
0.9861063 |
0.98648869 |
0.98686176 |
0.98722569 |
2.5 |
0.98758067 |
0.98792688 |
0.98826452 |
0.98859375 |
0.98891475 |
0.98922771 |
0.98953278 |
0.98983015 |
0.99011997 |
0.99040241 |
2.6 |
0.99067762 |
0.99094578 |
0.99120702 |
0.99146151 |
0.9917094 |
0.99195082 |
0.99218593 |
0.99241488 |
0.99263778 |
0.9928548 |
2.7 |
0.99306605 |
0.99327168 |
0.99347181 |
0.99366657 |
0.99385608 |
0.99404047 |
0.99421986 |
0.99439437 |
0.99456411 |
0.9947292 |
2.8 |
0.99488974 |
0.99504585 |
0.99519764 |
0.9953452 |
0.99548865 |
0.99562808 |
0.99576359 |
0.99589528 |
0.99602325 |
0.99614758 |
2.9 |
0.99626837 |
0.99638571 |
0.99649969 |
0.99661038 |
0.99671788 |
0.99682226 |
0.99692361 |
0.997022 |
0.99711752 |
0.99721023 |
3 |
0.9973002 |
0.99738752 |
0.99747225 |
0.99755446 |
0.99763422 |
0.99771159 |
0.99778663 |
0.99785941 |
0.99792999 |
0.99799844 |
3.1 |
0.99806479 |
0.99812913 |
0.99819149 |
0.99825194 |
0.99831052 |
0.9983673 |
0.99842231 |
0.99847561 |
0.99852725 |
0.99857727 |
3.2 |
0.99862572 |
0.99867265 |
0.99871809 |
0.9987621 |
0.9988047 |
0.99884595 |
0.99888588 |
0.99892453 |
0.99896193 |
0.99899813 |
3.3 |
0.99903315 |
0.99906704 |
0.99909983 |
0.99913154 |
0.99916222 |
0.99919188 |
0.99922058 |
0.99924832 |
0.99927514 |
0.99930107 |
3.4 |
0.99932614 |
0.99935037 |
0.99937379 |
0.99939642 |
0.99941829 |
0.99943941 |
0.99945982 |
0.99947954 |
0.99949859 |
0.99951698 |
3.5 |
0.99953474 |
0.99955189 |
0.99956845 |
0.99958444 |
0.99959987 |
0.99961477 |
0.99962915 |
0.99964302 |
0.99965641 |
0.99966932 |
3.6 |
0.99968178 |
0.9996938 |
0.9997054 |
0.99971658 |
0.99972736 |
0.99973776 |
0.99974778 |
0.99975745 |
0.99976677 |
0.99977575 |
3.7 |
0.9997844 |
0.99979274 |
0.99980078 |
0.99980852 |
0.99981598 |
0.99982317 |
0.99983009 |
0.99983675 |
0.99984317 |
0.99984935 |
3.8 |
0.9998553 |
0.99986103 |
0.99986655 |
0.99987186 |
0.99987697 |
0.99988188 |
0.99988661 |
0.99989116 |
0.99989554 |
0.99989976 |
3.9 |
0.99990381 |
0.9999077 |
0.99991145 |
0.99991505 |
0.99991852 |
0.99992185 |
0.99992505 |
0.99992813 |
0.99993108 |
0.99993393 |
4 |
0.99993666 |
0.99993928 |
0.9999418 |
0.99994422 |
0.99994655 |
0.99994878 |
0.99995093 |
0.99995299 |
0.99995496 |
0.99995686 |
4.1 |
0.99995868 |
0.99996043 |
0.99996211 |
0.99996372 |
0.99996527 |
0.99996675 |
0.99996818 |
0.99996954 |
0.99997085 |
0.9999721 |
4.2 |
0.99997331 |
0.99997446 |
0.99997557 |
0.99997663 |
0.99997765 |
0.99997862 |
0.99997956 |
0.99998045 |
0.99998131 |
0.99998213 |
4.3 |
0.99998292 |
0.99998367 |
0.9999844 |
0.99998509 |
0.99998575 |
0.99998639 |
0.99998699 |
0.99998758 |
0.99998813 |
0.99998866 |
4.4 |
0.99998917 |
0.99998966 |
0.99999013 |
0.99999058 |
0.999991 |
0.99999141 |
0.9999918 |
0.99999218 |
0.99999254 |
0.99999288 |
4.5 |
0.9999932 |
0.99999352 |
0.99999382 |
0.9999941 |
0.99999437 |
0.99999464 |
0.99999488 |
0.99999512 |
0.99999535 |
0.99999557 |
4.6 |
0.99999578 |
0.99999597 |
0.99999616 |
0.99999634 |
0.99999652 |
0.99999668 |
0.99999684 |
0.99999699 |
0.99999713 |
0.99999727 |
4.7 |
0.9999974 |
0.99999752 |
0.99999764 |
0.99999775 |
0.99999786 |
0.99999797 |
0.99999806 |
0.99999816 |
0.99999825 |
0.99999833 |
4.8 |
0.99999841 |
0.99999849 |
0.99999856 |
0.99999863 |
0.9999987 |
0.99999877 |
0.99999883 |
0.99999888 |
0.99999894 |
0.99999899 |
4.9 |
0.99999904 |
0.99999909 |
0.99999913 |
0.99999918 |
0.99999922 |
0.99999926 |
0.9999993 |
0.99999933 |
0.99999936 |
0.9999994 |
5 |
0.99999943 |
0.99999946 |
0.99999948 |
0.99999951 |
0.99999953 |
0.99999956 |
0.99999958 |
0.9999996 |
0.99999962 |
0.99999964 |
5.1 |
0.99999966 |
0.99999968 |
0.99999969 |
0.99999971 |
0.99999973 |
0.99999974 |
0.99999975 |
0.99999977 |
0.99999978 |
0.99999979 |
5.2 |
0.9999998 |
0.99999981 |
0.99999982 |
0.99999983 |
0.99999984 |
0.99999985 |
0.99999986 |
0.99999986 |
0.99999987 |
0.99999988 |
5.3 |
0.99999988 |
0.99999989 |
0.9999999 |
0.9999999 |
0.99999991 |
0.99999991 |
0.99999992 |
0.99999992 |
0.99999993 |
0.99999993 |
5.4 |
0.99999993 |
0.99999994 |
0.99999994 |
0.99999994 |
0.99999995 |
0.99999995 |
0.99999995 |
0.99999995 |
0.99999996 |
0.99999996 |
5.5 |
0.99999996 |
0.99999996 |
0.99999997 |
0.99999997 |
0.99999997 |
0.99999997 |
0.99999997 |
0.99999997 |
0.99999998 |
0.99999998 |
5.6 |
0.99999998 |
0.99999998 |
0.99999998 |
0.99999998 |
0.99999998 |
0.99999998 |
0.99999998 |
0.99999999 |
0.99999999 |
0.99999999 |
5.7 |
0.99999999 |
0.99999999 |
0.99999999 |
0.99999999 |
0.99999999 |
0.99999999 |
0.99999999 |
0.99999999 |
0.99999999 |
0.99999999 |
5.8 |
0.99999999 |
0.99999999 |
0.99999999 |
0.99999999 |
0.99999999 |
1 |
1 |
1 |
1 |
1 |
5.9 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
6 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
|
|
|
|
|
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Tablas de distribución normal acumulada
Los ejercicios están en formato .xls por lo que necesitas el programa Excel
para utilizarlos.
Recuerda que todos nuestros recursos son gratuitos y que puedes utilizarlos las
veces que quieras y compartirlos con tus amigos.
Esperamos que te sean muy útiles.
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