|
|
| Tablas de distribución normal acumulada |
| 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 |
0.50399 |
0.50798 |
0.51197 |
0.51595 |
0.51994 |
0.52392 |
0.5279 |
0.53188 |
0.53586 |
| 0.1 |
0.53983 |
0.5438 |
0.54776 |
0.55172 |
0.55567 |
0.55962 |
0.56356 |
0.56749 |
0.57142 |
0.57535 |
| 0.2 |
0.57926 |
0.58317 |
0.58706 |
0.59095 |
0.59483 |
0.59871 |
0.60257 |
0.60642 |
0.61026 |
0.61409 |
| 0.3 |
0.61791 |
0.62172 |
0.62552 |
0.6293 |
0.63307 |
0.63683 |
0.64058 |
0.64431 |
0.64803 |
0.65173 |
| 0.4 |
0.65542 |
0.6591 |
0.66276 |
0.6664 |
0.67003 |
0.67364 |
0.67724 |
0.68082 |
0.68439 |
0.68793 |
| 0.5 |
0.69146 |
0.69497 |
0.69847 |
0.70194 |
0.7054 |
0.70884 |
0.71226 |
0.71566 |
0.71904 |
0.7224 |
| 0.6 |
0.72575 |
0.72907 |
0.73237 |
0.73565 |
0.73891 |
0.74215 |
0.74537 |
0.74857 |
0.75175 |
0.7549 |
| 0.7 |
0.75804 |
0.76115 |
0.76424 |
0.7673 |
0.77035 |
0.77337 |
0.77637 |
0.77935 |
0.7823 |
0.78524 |
| 0.8 |
0.78814 |
0.79103 |
0.79389 |
0.79673 |
0.79955 |
0.80234 |
0.80511 |
0.80785 |
0.81057 |
0.81327 |
| 0.9 |
0.81594 |
0.81859 |
0.82121 |
0.82381 |
0.82639 |
0.82894 |
0.83147 |
0.83398 |
0.83646 |
0.83891 |
| 1 |
0.84134 |
0.84375 |
0.84614 |
0.84849 |
0.85083 |
0.85314 |
0.85543 |
0.85769 |
0.85993 |
0.86214 |
| 1.1 |
0.86433 |
0.8665 |
0.86864 |
0.87076 |
0.87286 |
0.87493 |
0.87698 |
0.879 |
0.881 |
0.88298 |
| 1.2 |
0.88493 |
0.88686 |
0.88877 |
0.89065 |
0.89251 |
0.89435 |
0.89617 |
0.89796 |
0.89973 |
0.90147 |
| 1.3 |
0.9032 |
0.9049 |
0.90658 |
0.90824 |
0.90988 |
0.91149 |
0.91308 |
0.91466 |
0.91621 |
0.91774 |
| 1.4 |
0.91924 |
0.92073 |
0.9222 |
0.92364 |
0.92507 |
0.92647 |
0.92785 |
0.92922 |
0.93056 |
0.93189 |
| 1.5 |
0.93319 |
0.93448 |
0.93574 |
0.93699 |
0.93822 |
0.93943 |
0.94062 |
0.94179 |
0.94295 |
0.94408 |
| 1.6 |
0.9452 |
0.9463 |
0.94738 |
0.94845 |
0.9495 |
0.95053 |
0.95154 |
0.95254 |
0.95352 |
0.95449 |
| 1.7 |
0.95543 |
0.95637 |
0.95728 |
0.95818 |
0.95907 |
0.95994 |
0.9608 |
0.96164 |
0.96246 |
0.96327 |
| 1.8 |
0.96407 |
0.96485 |
0.96562 |
0.96638 |
0.96712 |
0.96784 |
0.96856 |
0.96926 |
0.96995 |
0.97062 |
| 1.9 |
0.97128 |
0.97193 |
0.97257 |
0.9732 |
0.97381 |
0.97441 |
0.975 |
0.97558 |
0.97615 |
0.9767 |
| 2 |
0.97725 |
0.97778 |
0.97831 |
0.97882 |
0.97932 |
0.97982 |
0.9803 |
0.98077 |
0.98124 |
0.98169 |
| 2.1 |
0.98214 |
0.98257 |
0.983 |
0.98341 |
0.98382 |
0.98422 |
0.98461 |
0.985 |
0.98537 |
0.98574 |
| 2.2 |
0.9861 |
0.98645 |
0.98679 |
0.98713 |
0.98745 |
0.98778 |
0.98809 |
0.9884 |
0.9887 |
0.98899 |
| 2.3 |
0.98928 |
0.98956 |
0.98983 |
0.9901 |
0.99036 |
0.99061 |
0.99086 |
0.99111 |
0.99134 |
0.99158 |
| 2.4 |
0.9918 |
0.99202 |
0.99224 |
0.99245 |
0.99266 |
0.99286 |
0.99305 |
0.99324 |
0.99343 |
0.99361 |
| 2.5 |
0.99379 |
0.99396 |
0.99413 |
0.9943 |
0.99446 |
0.99461 |
0.99477 |
0.99492 |
0.99506 |
0.9952 |
| 2.6 |
0.99534 |
0.99547 |
0.9956 |
0.99573 |
0.99585 |
0.99598 |
0.99609 |
0.99621 |
0.99632 |
0.99643 |
| 2.7 |
0.99653 |
0.99664 |
0.99674 |
0.99683 |
0.99693 |
0.99702 |
0.99711 |
0.9972 |
0.99728 |
0.99736 |
| 2.8 |
0.99744 |
0.99752 |
0.9976 |
0.99767 |
0.99774 |
0.99781 |
0.99788 |
0.99795 |
0.99801 |
0.99807 |
| 2.9 |
0.99813 |
0.99819 |
0.99825 |
0.99831 |
0.99836 |
0.99841 |
0.99846 |
0.99851 |
0.99856 |
0.99861 |
| 3 |
0.99865 |
0.99869 |
0.99874 |
0.99878 |
0.99882 |
0.99886 |
0.99889 |
0.99893 |
0.99896 |
0.999 |
| 3.1 |
0.99903 |
0.99906 |
0.9991 |
0.99913 |
0.99916 |
0.99918 |
0.99921 |
0.99924 |
0.99926 |
0.99929 |
| 3.2 |
0.99931 |
0.99934 |
0.99936 |
0.99938 |
0.9994 |
0.99942 |
0.99944 |
0.99946 |
0.99948 |
0.9995 |
| 3.3 |
0.99952 |
0.99953 |
0.99955 |
0.99957 |
0.99958 |
0.9996 |
0.99961 |
0.99962 |
0.99964 |
0.99965 |
| 3.4 |
0.99966 |
0.99968 |
0.99969 |
0.9997 |
0.99971 |
0.99972 |
0.99973 |
0.99974 |
0.99975 |
0.99976 |
| 3.5 |
0.99977 |
0.99978 |
0.99978 |
0.99979 |
0.9998 |
0.99981 |
0.99981 |
0.99982 |
0.99983 |
0.99983 |
| 3.6 |
0.99984 |
0.99985 |
0.99985 |
0.99986 |
0.99986 |
0.99987 |
0.99987 |
0.99988 |
0.99988 |
0.99989 |
| 3.7 |
0.99989 |
0.9999 |
0.9999 |
0.9999 |
0.99991 |
0.99991 |
0.99992 |
0.99992 |
0.99992 |
0.99992 |
| 3.8 |
0.99993 |
0.99993 |
0.99993 |
0.99994 |
0.99994 |
0.99994 |
0.99994 |
0.99995 |
0.99995 |
0.99995 |
| 3.9 |
0.99995 |
0.99995 |
0.99996 |
0.99996 |
0.99996 |
0.99996 |
0.99996 |
0.99996 |
0.99997 |
0.99997 |
| 4 |
0.99997 |
0.99997 |
0.99997 |
0.99997 |
0.99997 |
0.99997 |
0.99998 |
0.99998 |
0.99998 |
0.99998 |
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 |
| -4 |
0.00003 |
0.00003 |
0.00003 |
0.00003 |
0.00003 |
0.00003 |
0.00002 |
0.00002 |
0.00002 |
0.00002 |
| -3.9 |
0.00005 |
0.00005 |
0.00004 |
0.00004 |
0.00004 |
0.00004 |
0.00004 |
0.00004 |
0.00003 |
0.00003 |
| -3.8 |
0.00007 |
0.00007 |
0.00007 |
0.00006 |
0.00006 |
0.00006 |
0.00006 |
0.00005 |
0.00005 |
0.00005 |
| -3.7 |
0.00011 |
0.0001 |
0.0001 |
0.0001 |
0.00009 |
0.00009 |
0.00008 |
0.00008 |
0.00008 |
0.00008 |
| -3.6 |
0.00016 |
0.00015 |
0.00015 |
0.00014 |
0.00014 |
0.00013 |
0.00013 |
0.00012 |
0.00012 |
0.00011 |
| -3.5 |
0.00023 |
0.00022 |
0.00022 |
0.00021 |
0.0002 |
0.00019 |
0.00019 |
0.00018 |
0.00017 |
0.00017 |
| -3.4 |
0.00034 |
0.00032 |
0.00031 |
0.0003 |
0.00029 |
0.00028 |
0.00027 |
0.00026 |
0.00025 |
0.00024 |
| -3.3 |
0.00048 |
0.00047 |
0.00045 |
0.00043 |
0.00042 |
0.0004 |
0.00039 |
0.00038 |
0.00036 |
0.00035 |
| -3.2 |
0.00069 |
0.00066 |
0.00064 |
0.00062 |
0.0006 |
0.00058 |
0.00056 |
0.00054 |
0.00052 |
0.0005 |
| -3.1 |
0.00097 |
0.00094 |
0.0009 |
0.00087 |
0.00084 |
0.00082 |
0.00079 |
0.00076 |
0.00074 |
0.00071 |
| -3 |
0.00135 |
0.00131 |
0.00126 |
0.00122 |
0.00118 |
0.00114 |
0.00111 |
0.00107 |
0.00104 |
0.001 |
| -2.9 |
0.00187 |
0.00181 |
0.00175 |
0.00169 |
0.00164 |
0.00159 |
0.00154 |
0.00149 |
0.00144 |
0.00139 |
| -2.8 |
0.00256 |
0.00248 |
0.0024 |
0.00233 |
0.00226 |
0.00219 |
0.00212 |
0.00205 |
0.00199 |
0.00193 |
| -2.7 |
0.00347 |
0.00336 |
0.00326 |
0.00317 |
0.00307 |
0.00298 |
0.00289 |
0.0028 |
0.00272 |
0.00264 |
| -2.6 |
0.00466 |
0.00453 |
0.0044 |
0.00427 |
0.00415 |
0.00402 |
0.00391 |
0.00379 |
0.00368 |
0.00357 |
| -2.5 |
0.00621 |
0.00604 |
0.00587 |
0.0057 |
0.00554 |
0.00539 |
0.00523 |
0.00508 |
0.00494 |
0.0048 |
| -2.4 |
0.0082 |
0.00798 |
0.00776 |
0.00755 |
0.00734 |
0.00714 |
0.00695 |
0.00676 |
0.00657 |
0.00639 |
| -2.3 |
0.01072 |
0.01044 |
0.01017 |
0.0099 |
0.00964 |
0.00939 |
0.00914 |
0.00889 |
0.00866 |
0.00842 |
| -2.2 |
0.0139 |
0.01355 |
0.01321 |
0.01287 |
0.01255 |
0.01222 |
0.01191 |
0.0116 |
0.0113 |
0.01101 |
| -2.1 |
0.01786 |
0.01743 |
0.017 |
0.01659 |
0.01618 |
0.01578 |
0.01539 |
0.015 |
0.01463 |
0.01426 |
| -2 |
0.02275 |
0.02222 |
0.02169 |
0.02118 |
0.02068 |
0.02018 |
0.0197 |
0.01923 |
0.01876 |
0.01831 |
| -1.9 |
0.02872 |
0.02807 |
0.02743 |
0.0268 |
0.02619 |
0.02559 |
0.025 |
0.02442 |
0.02385 |
0.0233 |
| -1.8 |
0.03593 |
0.03515 |
0.03438 |
0.03362 |
0.03288 |
0.03216 |
0.03144 |
0.03074 |
0.03005 |
0.02938 |
| -1.7 |
0.04457 |
0.04363 |
0.04272 |
0.04182 |
0.04093 |
0.04006 |
0.0392 |
0.03836 |
0.03754 |
0.03673 |
| -1.6 |
0.0548 |
0.0537 |
0.05262 |
0.05155 |
0.0505 |
0.04947 |
0.04846 |
0.04746 |
0.04648 |
0.04551 |
| -1.5 |
0.06681 |
0.06552 |
0.06426 |
0.06301 |
0.06178 |
0.06057 |
0.05938 |
0.05821 |
0.05705 |
0.05592 |
| -1.4 |
0.08076 |
0.07927 |
0.0778 |
0.07636 |
0.07493 |
0.07353 |
0.07215 |
0.07078 |
0.06944 |
0.06811 |
| -1.3 |
0.0968 |
0.0951 |
0.09342 |
0.09176 |
0.09012 |
0.08851 |
0.08692 |
0.08534 |
0.08379 |
0.08226 |
| -1.2 |
0.11507 |
0.11314 |
0.11123 |
0.10935 |
0.10749 |
0.10565 |
0.10383 |
0.10204 |
0.10027 |
0.09853 |
| -1.1 |
0.13567 |
0.1335 |
0.13136 |
0.12924 |
0.12714 |
0.12507 |
0.12302 |
0.121 |
0.119 |
0.11702 |
| -1 |
0.15866 |
0.15625 |
0.15386 |
0.15151 |
0.14917 |
0.14686 |
0.14457 |
0.14231 |
0.14007 |
0.13786 |
| -0.9 |
0.18406 |
0.18141 |
0.17879 |
0.17619 |
0.17361 |
0.17106 |
0.16853 |
0.16602 |
0.16354 |
0.16109 |
| -0.8 |
0.21186 |
0.20897 |
0.20611 |
0.20327 |
0.20045 |
0.19766 |
0.19489 |
0.19215 |
0.18943 |
0.18673 |
| -0.7 |
0.24196 |
0.23885 |
0.23576 |
0.2327 |
0.22965 |
0.22663 |
0.22363 |
0.22065 |
0.2177 |
0.21476 |
| -0.6 |
0.27425 |
0.27093 |
0.26763 |
0.26435 |
0.26109 |
0.25785 |
0.25463 |
0.25143 |
0.24825 |
0.2451 |
| -0.5 |
0.30854 |
0.30503 |
0.30153 |
0.29806 |
0.2946 |
0.29116 |
0.28774 |
0.28434 |
0.28096 |
0.2776 |
| -0.4 |
0.34458 |
0.3409 |
0.33724 |
0.3336 |
0.32997 |
0.32636 |
0.32276 |
0.31918 |
0.31561 |
0.31207 |
| -0.3 |
0.38209 |
0.37828 |
0.37448 |
0.3707 |
0.36693 |
0.36317 |
0.35942 |
0.35569 |
0.35197 |
0.34827 |
| -0.2 |
0.42074 |
0.41683 |
0.41294 |
0.40905 |
0.40517 |
0.40129 |
0.39743 |
0.39358 |
0.38974 |
0.38591 |
| -0.1 |
0.46017 |
0.4562 |
0.45224 |
0.44828 |
0.44433 |
0.44038 |
0.43644 |
0.43251 |
0.42858 |
0.42465 |
| -0 |
0.5 |
0.49601 |
0.49202 |
0.48803 |
0.48405 |
0.48006 |
0.47608 |
0.4721 |
0.46812 |
0.46414 |
|
|
|