Apéndice de Tablas
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Transcript of Apéndice de Tablas
Manual y Prácticas de Estadística Administrativa I
Apéndice de Tablas
1. Números aleatorios
2. Distribución normal estandarizada acumulativa.
3. Valores críticos de t.
4. Probabilidades Binomiales.
5. Probabilidades de Poisson.
6. Factores de gráfica de control.
7. Distribución normal estandarizada.
Licenciatura en AdministraciónIng. Marco A. Parra R.
1
Manual y Prácticas de Estadística Administrativa I
Tabla 1. - Números aleatorios
Fila0000112345
0000167890
1111112345
1111267890
2222212345
2222367890
3333312345
3333467890
01 49280 88924 35779 00283 81163 07275 89863 0234802 61870 41657 07468 08612 98083 97349 20775 4509103 43898 65923 25078 86129 78496 97653 91550 0807804 62993 93912 30454 84598 56095 20664 12872 6464705 33850 58555 51438 85507 71865 79488 76783 3170806 97340 03364 88472 04334 63919 36394 11095 9247007 70543 29776 10087 10072 55980 64688 68239 2046108 39382 93809 00796 95945 34101 81277 66090 8887209 37818 72142 67140 50785 22380 16703 53362 4494010 60430 22834 14130 96593 23298 56203 92671 1592511 82975 66158 84731 19436 55790 69229 28661 1367512 30987 71938 40355 54324 08401 26299 49420 5920813 55700 24586 93247 32596 11865 63397 44251 4318914 14756 23997 78643 75912 83832 32768 18928 5707015 32166 53251 70654 92827 63491 04233 33825 6966216 23236 75751 31888 81718 06546 83246 47651 0487717 45794 26926 15130 82455 78305 55058 52551 4718218 09893 20505 14225 68514 47427 56788 96297 7882219 54382 74598 91499 14523 68479 27686 46162 8355420 94750 89923 37089 20048 80336 94598 26940 3685821 70297 34135 53140 33340 42050 82341 44104 8294922 85157 47954 32979 26575 57600 40881 12250 7374223 11100 02340 12860 74697 96644 89439 28707 2581524 36871 50775 30592 57143 17381 68856 25853 3504125 23913 48357 63308 16090 51690 54607 72407 5553826 79348 36085 27973 65157 07456 22255 25626 5705427 92074 54641 53673 54421 18130 60103 69593 4946428 06873 21440 75593 41373 49502 17972 82578 1636429 12478 37622 99659 31065 83613 69889 58869 2957130 57175 55564 65411 42547 70457 03426 72937 8379231 91616 11075 80103 07831 59309 13276 26710 7300032 78025 75539 14621 39044 47450 03197 12787 4770933 27587 67228 80145 10175 12822 86687 65530 4932534 16690 20427 04251 64477 73709 73945 92396 6826335 70183 58065 65489 31833 82093 16747 10386 5929336 90730 35385 15679 99742 50866 78028 75573 6725737 10934 93242 13431 24590 02770 48585 00906 5859538 82462 30166 79613 47416 13389 80268 05085 9666639 27463 10433 07606 16285 93699 60912 94532 9563240 02979 52997 09079 92709 90110 47506 53693 4989241 46888 69929 75233 52507 32097 37594 10067 6732742 53638 83161 08289 12639 08141 12640 28437 0926843 82433 61427 17239 89160 19666 08814 37841 1284744 35766 31672 50082 22795 66948 65581 84393 1589045 10853 42581 08792 13257 61973 24450 52351 1660246 20341 27398 72906 63955 17276 10646 74692 4843847 54458 90542 77563 51839 52901 53355 83281 1917748 26337 66530 16687 35179 46560 00123 44546 7989649 34314 23729 85264 05575 96855 23820 11090 7982150 28603 10708 68933 34189 92166 15181 66628 58599
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Manual y Prácticas de Estadística Administrativa I
Tabla 2.- La distribución normal estandarizada acumulativa. Las entradas representan el área debajo de la curva normal desde hasta Z
Z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09-3.9 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 0.00010 0.00010 0.00010 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 0.00020 0.00019 0.00019 0.00018 0.00017 0.00017-3.4 0.00034 0.00032 0.00031 0.00030 0.00029 0.00028 0.00027 0.00026 0.00025 0.00024-3.3 0.00048 0.00047 0.00045 0.00043 0.00042 0.00040 0.00039 0.00038 0.00036 0.00035-3.2 0.00069 0.00066 0.00064 0.00062 0.00060 0.00058 0.00056 0.00054 0.00052 0.00050-3.1 0.00097 0.00094 0.00090 0.00087 0.00084 0.00082 0.00079 0.00076 0.00074 0.00071-3.0 0.00135 0.00131 0.00126 0.00122 0.00118 0.00114 0.00111 0.00107 0.00103 0.00100-2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014-2.8 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019-2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 0.0026-2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036-2.5 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048-2.4 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064-2.3 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084-2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110-2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143-2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183-1.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233-1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294-1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367-1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455-1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.059-1.4 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681-1.3 0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823-1.2 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985-1.1 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1170-1.0 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379-0.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 0.1635 0.1611-0.8 0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867-0.7 0.2420 0.2388 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148-0.6 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 0.2482 0.2451-0.5 0.3085 0.3050 0.3015 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 0.2776-0.4 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.3121-0.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483-0.2 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859-0.1 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 0.4286 0.4247-0.0 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 0.4641
Licenciatura en AdministraciónIng. Marco A. Parra R.
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Manual y Prácticas de Estadística Administrativa I
Tabla 2.- La distribución normal estandarizada acumulativa. (continuación) Las entradas representan el área debajo de la curva normal desde hasta Z
Z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.090.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.53590.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.57530.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.61410.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.65170.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.68790.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.72240.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7518 0.75490.7 0.7580 0.7612 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.78520.8 1.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.81330.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.83891.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.86211.1 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.88301.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.90151.3 1.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.91771.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.93191.5 0.9332 0.9345 0.9357 0.9370 0.9383 0.9394 0.9406 0.9418 0.6429 0.94411.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.95451.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.96331.8 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.97061.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.97672.0 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812 0.98172.1 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.98572.2 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.98902.3 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.99162.4 0.9918 0.9920 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.99362.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.99522.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.99642.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.99742.8 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.99812.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.99863.0 0.99865 0.99869 0.99874 0.99878 0.99882 0.99886 0.99889 0.99893 0.99897 0.999003.1 0.99903 0.99906 0.99910 0.99913 0.99916 0.99918 0.99921 0.99924 0.99926 0.999293.2 0.99931 0.99934 0.99936 0.99938 0.99940 0.99942 0.99944 0.99946 0.99948 0.999503.3 0.99952 0.99953 0.99955 0.99957 0.99958 0.99960 0.99961 0.99962 0.99964 0.999653.4 0.99966 0.99968 0.99969 0.99970 0.99971 0.99972 0.99973 0.99974 0.99975 0.999763.5 0.99977 0.99978 0.99978 0.99979 0.99980 0.99981 0.99981 0.99982 0.99983 0.999833.6 0.99984 0.99985 0.99985 0.99986 0.99986 0.99987 0.99987 0.99988 0.99988 0.999893.7 0.99989 0.99990 0.99990 0.99990 0.99991 0.99991 0.99992 0.99992 0.99992 0.999923.8 0.99993 0.99993 0.99993 0.99994 0.99994 0.99994 0.99994 0.99995 0.99995 0.999953.9 0.99995 0.99996 0.99996 0.99996 0.99996 0.99996 0.99996 0.99996 0.99997 0.99997
Tabla 3.- Valores críticos de t.
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Manual y Prácticas de Estadística Administrativa I
Para un número particular de grados de libertad, la entrada representa el valor crítico de t correspondiente a un área de la cola superior específica ( ).
Grados de libertad 0.25 0.10 0.05 0.025 0.01 0.005
1 1.0000 3.0777 6.3138 12.7062 31.8207 63.65742 0.8165 1.8856 2.9200 4.3027 6.9646 9.92483 0.7649 1.6377 2.3534 3.1824 4.5407 5.84094 0.7407 1.5332 2.1318 2.7764 3.7469 4.60415 0.7267 1.4579 2.0150 2.5706 3.3649 4.03226 0.7176 1.4398 1.9432 2.4469 3.1427 3.70747 0.7111 1.4149 1.8946 2.3646 2.9980 3.49958 0.7064 1.3968 1.8595 2.3060 2.8965 3.35549 0.7027 1.3830 1.8331 2.2622 2.8214 3.249810 0.6998 1.3722 1.8125 2.2281 2.7638 3.1693
11 0.6974 1.3634 1.7959 2.2010 2.7181 3.105812 0.6955 1.3562 1.7823 2.1788 2.6810 3.054513 0.6938 1.3502 1.7709 2.1604 2.6503 3.012314 0.6924 1.3450 1.7613 2.1448 2.6245 2.976815 0.6912 1.3406 1.7531 2.1315 2.6025 2.946716 0.6901 1.3368 1.7459 2.1199 2.5835 2.920817 0.6892 1.3334 1.7396 2.1098 2.5669 2.898218 0.6884 1.3304 1.7341 2.1009 2.5524 2.878419 0.6876 1.3277 1.7291 2.0930 2.5395 2.860920 0.6870 1.3253 1.7247 2.0860 2.5280 2.8453
21 0.6864 1.3232 1.7207 2.0796 2.5177 2.831422 0.6858 1.3212 1.7171 2.0739 2.5083 2.818823 0.6853 1.3195 1.7139 2.0687 2.4999 2.807324 0.6848 1.3178 1.7109 2.0639 2.4922 2.796925 0.6844 1.3163 1.7081 2.0595 2.4851 2.787426 0.6840 1.3150 1.7056 2.0555 2.4786 2.778727 0.6837 1.3137 1.7033 2.0518 2.4727 2.770728 0.6834 1.3125 1.7011 2.0484 2.4671 2.763329 0.6830 1.3114 1.6991 2.0452 2.4620 2.756430 0.6828 1.3104 1.6973 2.0423 2.4573 2.7500
31 0.6825 1.3095 1.6955 2.0395 2.4528 2.744032 0.6822 1.3086 1.6939 2.0369 2.4487 2.738533 0.6820 1.3077 1.6924 2.0345 2.4448 2.733334 0.6818 1.3070 1.6909 2.0322 2.4411 2.728435 0.6816 1.3062 1.6896 2.0301 2.4377 2.723836 0.6814 1.3055 1.6883 2.0281 2.4345 2.719537 0.6812 1.3049 1.6871 2.0262 2.4314 2.715438 0.6810 1.3042 1.6860 2.0244 2.4286 2.711639 0.6808 1.3036 1.6849 2.0227 2.4258 2.707940 0.6807 1.3031 1.6839 2.0211 2.4233 2.7045
41 0.6805 1.3025 1.6829 2.0195 2.4208 2.701242 0.6804 1.3020 1.6820 2.0181 2.4185 2.698143 0.6802 1.3016 1.6811 2.0167 2.4163 2.695144 0.6801 1.3011 1.6802 2.0154 2.4141 2.692345 0.6800 1.3006 1.6794 2.0141 2.4121 2.689646 0.6799 1.3022 1.6787 2.0129 2.4102 2.687047 0.6797 1.2998 1.6779 2.0117 2.4083 2.684648 0.6796 1.2994 1.6772 2.0106 2.4066 2.6822
Tabla 3.- Valores críticos de t (continuación)
Licenciatura en AdministraciónIng. Marco A. Parra R.
5
Áreas de la cola superior
Manual y Prácticas de Estadística Administrativa I
Grados de libertad 0.25 0.10 0.05 0.025 0.01 0.005
49 0.6795 1.2991 1.6766 2.0096 2.4049 2.680050 0.6794 1.2987 1.6759 2.0086 2.4033 2.6778
51 0.6793 1.2984 1.6753 2.0076 2.4017 2.675752 0.6792 1.2980 1.6747 2.0066 2.4002 2.673753 0.6791 1.2977 1.6741 2.0057 2.3988 2.671854 0.6791 1.2974 1.6736 2.0049 2.3974 2.670055 0.6790 1.2971 1.6730 2.0040 2.3961 2.668256 0.6789 1.2969 1.6725 2.0032 2.3948 2.666557 0.6788 1.2966 1.6720 2.0035 2.3936 2.664958 0.6787 1.2963 1.6716 2.0017 2.3924 2.663359 0.6787 1.2961 1.6711 2.0010 2.3912 2.661860 0.6786 1.2958 1.6706 2.0003 2.3901 2.6603
61 0.6785 1.2956 1.6702 1.996 2.3890 2.658962 0.6785 1.2954 1.6698 1.9990 2.3880 2.657563 0.6784 1.2951 1.6694 1.9983 2.3870 2.656164 0.6783 1.2949 1.6690 1.9977 2.3860 2.654965 0.6783 1.2947 1.6686 1.9971 2.3851 2.653666 0.6782 1.2945 1.6683 1.9966 2.3842 2.652467 0.6782 1.2943 1.6679 1.9960 2.3833 2.651268 0.6781 1.2941 1.6676 1.9955 2.3824 2.650169 0.6781 1.2939 1.6672 1.9949 2.3816 2.649070 0.6780 1.2938 1.6669 1.9944 2.3808 2.6479
71 0.6780 1.2936 1.6666 1.9939 2.3800 2.646972 0.6779 1.2934 1.6663 1.9935 2.3793 2.645973 0.6779 1.2933 1.6660 1.9930 2.3785 2.644974 0.6778 1.2931 1.6657 1.9925 2.3778 2.643975 0.6778 1.2929 1.6654 1.9921 2.3771 2.643076 0.6777 1.2928 1.6652 1.9917 2.3764 2.642177 0.6777 1.2926 1.6649 1.9913 2.3758 2.641278 0.6776 1.2925 1.6646 1.9908 2.3751 2.640379 0.6776 1.2924 1.6644 1.9905 2.3745 2.639580 0.6776 1.2922 1.6641 1.9901 2.3739 2.6387
81 0.6775 1.2921 1.6639 1.9897 2.3733 2.637982 0.6775 1.2920 1.6636 1.9893 2.3727 2.637183 0.6775 1.2918 1.6634 1.9890 2.3721 2.636484 0.6774 1.2917 1.6632 1.9886 2.3717 2.635685 0.6774 1.2916 1.6630 1.9883 2.3710 2.634986 0.6774 1.2915 1.6628 1.9879 2.3705 2.634287 0.6773 1.2914 1.6626 1.9876 2.3700 2.633588 0.6773 1.2912 1.6624 1.9873 2.3695 2.632989 0.6773 1.2911 1.6622 1.9870 2.3690 2.632290 0.6772 1.2910 1.6620 1.9867 2.3685 2.6316
91 0.6772 1.2909 1.6618 1.9864 2.3680 2.630992 0.6772 1.2908 1.6616 1.9861 2.3676 2.630393 0.6771 1.2907 1.6614 1.9858 2.3671 2.629794 0.6771 1.2906 1.6612 1.9855 2.3667 2.629195 0.6771 1.2905 1.6611 1.9853 2.3662 2.628696 0.6771 1.2904 1.6609 1.9850 2.3658 2.628097 0.6770 1.2903 1.6607 1.9847 2.3654 2.627598 0.6770 1.2902 1.6606 1.9845 2.3650 2.626999 0.6770 1.2902 1.6604 1.9842 2.3646 2.6264100 0.6770 1.2901 1.6602 1.9840 2.3642 2.6259
110 0.6767 1.2893 1.6588 1.9818 2.3607 2.6213
120 0.6765 1.2886 1.6577 1.9799 2.3578 2.6174
Tabla 4.- Probabilidades binomiales.
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Áreas de la cola superior
Manual y Prácticas de Estadística Administrativa I
n X .01 .05 .10 .15 .20 .25 .30 .35 .40 .45 .501 0 .9900 .9500 .9000 .8500 .8000 .7500 .7000 .6500 .6000 .5500 .5000
1 .0100 .0500 .1000 .1500 .2000 .2500 .3000 .3500 .4000 .4500 .50002 0 .9801 .9025 .8100 .7225 .6400 .5625 .4900 .4225 .3600 .3025 .2500
1 .0198 .0950 .1800 .2550 .3200 .3750 .4200 .4550 .4800 .4950 .50002 .0001 .0025 .0100 .0225 .0400 .0625 .0900 .1225 .1600 .2025 .25000
3 0 .9703 .8574 .7290 .6141 .5120 .4219 .3430 .2746 .2160 .1664 .12501 .0294 .1354 .2430 .3251 .3840 .4219 .4410 .4436 .4320 .4084 .37502 .0003 .0071 .0270 .0574 .0960 .1406 .1890 .2389 .2880 .3341 .37503 .0000 .0001 .0010 .0034 .0080 .0156 .0270 .0429 .0640 .0911 .1250
4 0 .9606 .8145 .6561 .5220 .4096 .3164 .2401 .1785 .1296 .0915 .06251 .0388 .1715 .2916 .3685 .4096 .4219 .4116 .3845 .3456 .2995 .25002 .0006 .0135 .0486 .0975 .1536 .2109 .2646 .3105 .3456 .3675 .37503 .0000 .0005 .0036 .0115 .0256 .0469 .0756 .1115 .1536 .2005 .25004 .0000 .0001 .0005 .0016 .0039 .0081 .0150 .0256 .0410 .0625
5 0 .9510 .7738 .5905 .4437 .3277 .2373 .1681 .1160 .0778 .0503 .03121 .0480 .2036 .3280 .3915 .4096 .3955 .3601 .3124 .2592 .2059 .15622 .0010 .0214 .0729 .1382 .2048 .2637 .3087 .3364 .3456 .3369 .31253 .0000 .0011 .0081 .0244 .0512 .0879 .1323 .1811 .2304 .2757 .31254 .0000 .0004 .0022 .0064 .0146 .0283 .0488 .0768 .1128 .15625 .0000 .0001 .0003 .0010 .0024 .0053 .0102 .0185 .0312
6 0 .9415 .7351 .5314 .3771 .2621 .1780 .1176 .0754 .0467 .0277 .01561 .0571 .2321 .3543 .3993 .3932 .3560 .3025 .2437 .1866 .1359 .09372 .0014 .0305 .0984 .1762 .2458 .2966 .3241 .3280 .3110 .2780 .23443 .0000 .0021 .0146 .0415 .0819 .1318 .1852 .2355 .2765 .3032 .31254 .0001 .0012 .055 .0154 .0330 .0595 .0951 .1372 .1681 .23445 .0000 .0001 .0004 .0015 .0044 .0102 .0205 .0369 .0609 .09376 .0000 .0000 .0001 .0002 .0007 .0018 .0041 .0083 .0156
7 0 .9321 .6983 .4783 .3206 .2097 .1335 .0824 .0490 .080 .0152 .00781 .0659 .2573 .3720 .3960 .3670 .3115 .2471 .1848 .1306 .0872 .05472 .0020 .0406 .1240 .2097 .2753 .3115 .3177 .2985 .2613 .2140 .16413 .0000 .0036 .0230 .0617 .1147 .1730 .2269 .2679 .2903 .2918 .27344 .0002 .0026 .0109 .0287 .0577 .0972 .1442 .1935 .2388 .27345 .0000 .0002 .0012 .0043 .0115 .0250 .0466 .0774 .1172 .16416 .0000 .0001 .0004 .0013 .0036 .0084 .0172 .0320 .05477 .0000 .0000 .0001 .0002 .0006 .0016 .0037 .0078
8 0 .9227 .6634 .4305 .2725 .1678 .1002 .0576 .0319 .0168 .0084 .00391 .0746 .2793 .3826 .3847 .3355 .2670 .1977 .1373 .0896 .0548 .03122 .0026 .0515 .1488 .2376 .2936 .3115 .2965 .2587 .2090 .1569 .10943 .0001 .0054 .0331 .0839 .1468 .2076 .2541 .2786 .2787 .2568 .21874 .0000 .0004 .0046 .0185 .0459 .0685 .1361 .1875 .2322 .2627 .27345 .0000 .0004 .0026 .0092 .0231 .0467 .0808 .1239 .1719 .21876 .0000 .0002 .0011 .0038 .0100 .0217 .0413 .0703 .10947 .0000 .0001 .0004 .0012 .0033 .0079 .0164 .03128 .0000 .0000 .0001 .0002 .0007 .0017 .0039
9 0 .9135 .6302 .3874 .2316 .1342 .0751 .0404 .0207 .0101 .0046 .00201 .0830 .2985 .3874 .3679 .3020 .2253 .1556 .1004 .0605 .0339 .01762 .0034 .0629 .1722 .2597 .3020 .3003 .2668 .2162 .1612 .1110 .07033 .0001 .0077 .0446 .1069 .1762 .2336 .2668 .2716 .2508 .2119 .16414 .0000 .0006 .0074 .0283 .0661 .1168 .1715 .2194 .2508 .2600 .24615 .0000 .0008 .0050 .0165 .0389 .0735 .1181 .1672 .2128 .24616 .0001 .0006 .0028 .0087 .0210 .0424 .0743 .1160 .16417 .0000 .0000 .0003 .0012 .0039 .0098 .0212 .0407 .07038 .0000 .0001 .0004 .0013 .0035 .0083 .01769 .0000 .0000 .0001 .0003 .0008 .0020
10 0 .9044 .5987 .3487 .1969 .1074 .0563 .0282 .0135 .0060 .0025 .00101 .0914 .3151 .3874 .3474 .2684 .1877 .1211 .0725 .0403 .0207 .00982 .0042 .0746 .1937 .2759 .3020 .2816 .2335 .1757 .1209 .0763 .04393 .0001 .0105 .0574 .1298 .2013 .2503 .2668 .2522 .2150 .1665 .11724 .0000 .0010 .0112 .0401 .0881 .1460 .2001 .2377 .2508 .2384 .20515 .0001 .0015 .0085 .0264 .0584 .1029 .1536 .2007 .2340 .2461
Tabla 4.- Probabilidades binomiales (continuación)
Licenciatura en AdministraciónIng. Marco A. Parra R.
7
Manual y Prácticas de Estadística Administrativa I
n X .01 .05 .10 .15 .20 .25 .30 .35 .40 .45 .5010 6 .0000 .0001 .0012 .0055 .0162 .0368 .0689 .1115 .1596 .2051
7 .0000 .0001 .0008 .0031 .0090 .0212 .0425 .0746 .11728 .0000 .0001 .0004 .0014 .0043 .0106 .0229 .04399 .0000 .0000 .0001 .0005 .0016 .0042 .009810 .0000 .0000 .0001 .0003 .0010
11 0 .8953 .5688 .3138 .1673 .0859 .0422 .0198 .0088 .0036 .0014 .00051 .0995 .3293 .3835 .3248 .2362 .1549 .0932 .0518 .0266 .0125 .00542 .0050 .0867 .2131 .2866 .2953 .2581 .1998 .1395 .0887 .0513 .02693 .0002 .0137 .0710 .1517 .2215 .2581 .2568 .2254 .1774 .1259 .08064 .0000 .0014 .0158 .0536 .1107 .1721 .2201 .3428 .2365 .2060 .16115 .0001 .0025 .0132 .0388 .0803 .1321 .1830 .2207 .2360 .22566 .0000 .0003 .0023 .0097 .0268 .0566 .0985 .1471 .1931 .22567 .0000 .0003 .0017 .0064 .0173 .0379 .0701 .1128 .16118 .0000 .0002 .0011 .0037 .0102 .0234 .0462 .08069 .0000 .0001 .0005 .0018 .0052 .0126 .026910 .0000 .000 .0002 .0007 .0021 .005411 .0000 .0000 .0002 .0005
12 0 .8864 .5404 .2824 .1422 .0687 .0317 .0138 .0057 .0022 .0008 .00021 .1074 .3413 .3766 .3012 .2062 .1267 .0712 .0368 .0174 .0075 .00292 .0060 .0988 .2301 .2924 .2835 .2323 .1678 .1088 .0639 .0339 .01613 .0002 .0173 .0852 .1720 .2362 .2581 .2397 .1954 .1419 .0923 .05374 .0000 .0021 .0213 .0683 .1329 .1936 .2311 .2367 .2128 .1700 .12085 .0002 .0038 .0193 .0532 .1032 .1585 .2039 .2270 .2225 .19346 .0000 .0005 .0040 .0155 .0401 .0792 .1281 .1766 .2124 .22567 .0000 .0006 .0033 .0115 .0291 .0591 .1009 .1489 .19348 .0001 .0005 .0024 .0078 .0199 .0420 .0762 .12089 .0000 .0001 .0004 .0015 .0048 .0125 .0277 .053710 .0000 .0000 .0002 .0008 .0025 .0068 .016111 .0000 .0001 .0003 .0010 .002912 .0000 .0000 .0001 .0002
13 0 .8775 .5133 .2542 .1209 .0550 .0238 .0097 .0037 .0013 .0004 .00011 .1152 .3512 .3672 .2774 .1787 .1029 .0540 .0259 .0113 .0045 .00162 .0070 .1109 .3448 .2937 .2680 .2059 .1388 .0836 .0453 .0220 .00953 .0003 .0214 .0997 .1900 .2457 .2517 .2181 .1651 .1107 .0660 .03494 .0000 .0028 .0277 .0838 .1535 .2097 .2337 .2222 .1845 .1350 .08735 .0003 .0055 .0266 .0691 .1258 .1803 .2154 .2314 .1989 .15716 .0000 .0008 .0063 .0230 .0559 .1030 .1546 .1968 .2169 .20957 .0001 .0011 .0058 .0186 .0442 .0833 .1312 .1775 .20958 .0001 .0001 .0011 .0047 .0142 .0336 .0656 .1089 .15719 .0000 .0000 .0001 .0009 .0034 .0101 .0243 .0495 .087310 .0000 .0001 .0006 .0022 .0065 .0162 .034911 .0000 .0001 .0003 .0012 .0036 .009512 .0000 .0000 .0001 .0005 .001613 .0000 .0000 .0001
14 0 .8687 .4877 .2288 .1028 .0440 .0178 .0068 .0024 .0008 .0002 .00011 .1229 .3593 .3559 .2539 .1539 .0832 .0407 .0181 .0073 .0027 .00092 .0081 .1229 .2570 .2912 .2501 .1802 .1134 .0634 .0317 .0141 .00563 .0003 .0259 .1142 .2056 .2501 .2402 .1943 .1366 .0845 .0462 .02224 .0000 .0037 .0349 .0998 .1720 .2202 .2290 .2022 .1549 .1040 .06115 .0004 .0078 .0352 .0860 .1468 .1963 .2178 .2066 .1701 .12226 .0000 .0013 .0093 .0322 .0734 .1262 .1759 .2066 .2068 .18337 .0002 .0019 .0092 .0280 .0618 .1082 .1574 .1952 .20958 .0000 .0003 .0020 .0082 .0232 .0510 .0918 .1398 .18339 .0000 .0003 .0018 .0066 .0183 .0408 .0762 .122210 .0000 .0003 .0014 .0049 .0136 .0312 .061111 .0000 .0002 .0010 .0033 .0093 .022212 .0000 .0001 .0005 .0019 .005613 .0000 .0001 .0002 .000914 .0000 .0000 .0001
15 0 .8601 .4633 .2059 .0874 .0352 .0134 .0047 .0016 .0005 .0001 .00001 .1303 .3658 .3432 .2312 .1319 .0668 .0305 .0126 .0047 .0016 .0005
8
Manual y Prácticas de Estadística Administrativa I
Tabla 4.- Probabilidades binomiales (continuación)n X .01 .05 .10 .15 .20 .25 .30 .35 .40 .45 .5015 2 .0092 .1348 .2059 .2856 .2309 .1559 .0916 .0476 .0219 .0090 .0032
3 .0004 .0307 .3432 .2184 .2501 .2252 .1700 .1110 .0634 .0318 .01394 .0000 .0049 .2669 .1156 .1876 .2252 .2186 .1792 .1268 .0780 .04175 .0006 .1285 .0449 .1032 .1651 .2061 .2123 .1839 .1404 .09166 .0000 .0428 .0132 .0430 .0917 .1472 .1906 .2066 .1914 .15277 .0105 .0030 .0138 .0393 .0811 .1319 .1771 .2013 .19648 .0019 .0005 .0035 .0131 .0348 .0710 .1181 .1647 .19649 .0003 .0001 .0007 .0034 .0116 .0298 .0612 .1048 .152710 .0000 .0000 .0001 .0007 .0030 .0096 .0245 .0515 .091611 .0000 .0001 .0006 .0024 .0074 .0191 .041712 .0000 .0001 .0004 .0016 .0052 .013913 .0000 .0001 .0003 .0010 .003214 .0000 .0000 .0001 .000515 .0000 .0000
16 0 .8515 .4401 .1853 .0743 .0281 .0100 .0033 .0010 .0003 .0001 .00001 .1376 .3706 .3294 .2097 .1126 .0535 .0228 .0087 .0030 .0009 .00022 .0104 .1463 .2745 .2775 .211 .1336 .0732 .0353 .0150 .0056 .00183 .0005 .0359 .1423 .2285 .2463 .2079 .165 .0888 .0468 .0215 .00854 .0000 .0061 .0514 .1311 .2001 .2252 .2040 .1553 .1014 .0572 .02785 .0008 .0137 .0555 .1201 .1802 .2099 .2008 .1623 .1123 .06676 .0001 .0028 .0180 .0550 .1101 .1649 .1982 .1983 .1684 .12227 .0000 .0004 .0045 .0197 .0524 .1010 .1524 .1889 .1969 .17468 .0001 .0009 .0055 .0197 .0487 .0923 .1417 .1812 .19649 .0000 .0001 .0012 .0058 .0185 .0442 .0840 .1318 .174610 .0000 .0002 .0014 .0056 .0167 .0392 .0755 .122211 .0000 .0002 .0013 .0049 .0142 .0337 .066712 .0000 .0002 .0011 .0040 .0115 .027813 .0000 .0002 .0008 .0029 .008514 .0000 .0001 .0005 .001815 .0000 .0001 .000216 .0000 .0000
17 0 .8429 .4181 .1668 .0631 .0225 .0075 .0023 .0007 .0002 .0000 .00001 .1447 .3741 .3150 .1893 .0957 .0426 .0169 .0060 .0019 .0005 .00012 .0117 .1575 .2800 .2673 .1914 .1136 .0581 .0260 .0102 .0035 .00103 .0006 .0415 .1556 .2359 .2393 .1893 .1245 .0701 .0341 .0144 .00524 .0000 .0076 .0605 .1457 .2093 .2209 .1868 .1320 .0796 .0411 .01825 .0010 .0175 .0668 .1361 .1914 .2081 .1849 .1379 .0875 .04726 .0001 .0039 .0236 .0680 .1276 .1784 .1991 .1839 .1412 .09447 .0000 .0007 .0065 .0267 .0668 .1201 .1685 .1927 .1841 .14848 .0001 .0014 .0084 .0279 .0644 .1134 .1606 .1883 .18559 .0000 .0003 .0021 .0093 .0276 .0611 .1070 .1540 .185510 .0000 .0004 .0025 .0095 .0263 .0571 .1008 .148411 .0001 .0005 .0026 .0090 .0242 .0525 .094412 .0000 .0001 .0006 .0024 .0081 .0215 .047213 .0000 .0001 .0005 .0021 .0068 .018214 .0000 .0001 .0004 .0016 .005215 .0000 .0001 .0003 .001016 .0000 .0000 .000117 .0000
18 0 .8345 .3972 .1501 .0536 .0180 .0056 .0016 .0004 .0001 .0000 .00001 .1517 .3763 .3002 .1704 .0811 .0338 .0126 .0042 .0012 .0003 .00012 .0130 .1683 .2835 .2556 .1723 .0958 .0458 .0190 .0069 .0022 .00063 .0007 .0473 .1680 .2406 .2297 .1704 .1046 .0547 .0246 .0095 .00314 .0000 .0093 .0700 .1592 .2153 .2130 .1681 .1104 .0614 .0291 .01175 .0014 .0218 .0787 .1507 .1988 .2017 .1664 .1146 .0666 .03276 .0002 .0052 .0301 .0816 .1436 .1873 .1941 .1655 .1181 .07087 .0000 .0010 .0091 .0350 .0820 .1376 .1792 .1892 .1657 .12148 .0002 .0022 .0120 .0376 .0811 .1327 .1734 .1864 .16699 .0000 .0004 .0033 .0139 .0386 .0794 .1284 .1694 .185510 .0001 .0008 .0042 .0149 .0385 .0771 .1248 .1669
Tabla 4.- Probabilidades binomiales (continuación)
Licenciatura en AdministraciónIng. Marco A. Parra R.
9
Manual y Prácticas de Estadística Administrativa I
n X .01 .05 .10 .15 .20 .25 .30 .35 .40 .45 .50
10
Manual y Prácticas de Estadística Administrativa I
18 11 .0000 .0001 .0010 .0046 .0151 .0374 .0742 .121412 .0000 .0002 .0012 .0047 .0145 .0354 .0708
13 .0000 .0002 .0012 .0045 .0134 .032714 .0000 .0002 .0011 .0039 .011715 .0000 .0002 .0009 .003116 .0000 .0001 .000617 .0000 .000118 .0000
19 0 .8262 .3774 .1351 .0456 .0144 .0042 .0011 .0003 .0001 .0000 .00001 .1586 .3774 .2852 .1529 .0685 .0268 .0093 .0029 .0008 .0002 .00002 .0144 .1787 .2852 .2428 .1540 .0803 .0358 .0138 .0046 .0013 .00033 .0008 .0533 .196 .2428 .2182 .1517 .0869 .0422 .0175 .0062 .00184 .0000 .0112 .0798 .1714 .1636 .2023 .1491 .0909 .0467 .0203 .00745 .0018 .0266 .0907 .0955 .2023 .1916 .1468 .0933 .0497 .02226 .0002 .0069 .0374 .0443 .1574 .1916 .1844 .1451 .0949 .05187 .0000 .0014 .0122 .0166 .0974 .1525 .1489 .1797 .1443 .09618 .0002 .0032 .0051 .0487 .0981 .0980 .1797 .1771 .14429 .0000 .0007 .0013 .0198 .0514 .0528 .1464 .1771 .176210 .0001 .0003 .0066 .0220 .0233 .0976 .1449 .176211 .0000 .0000 .0018 .077 .0083 .0532 .0970 .144212 .0004 .0022 .0024 .0237 .0529 .096113 .0001 .0005 .0006 .0085 .0233 .051814 .0000 .0001 .0001 .0024 .0082 .022215 .0000 .0000 .0005 .0022 .007416 .0001 .0005 .001817 .0000 .0001 .000318 .0000 .000019 .0000
20 0 .8179 .3585 .1216 .0388 .0115 .0032 .0008 .0002 .0000 .0000 .00001 .1652 .3774 .2702 .1368 .0576 .0211 .0068 .0020 .0005 .0001 .00002 .0159 .1887 .2852 .2293 .1369 .0669 .0278 .0100 .0031 .0008 .00023 .0010 .0596 .1901 .3428 .2054 .1339 .0716 .0323 .0123 .0040 .00114 .0000 .0133 .0898 .1821 .2182 .1897 .1304 .0738 .0350 .0139 .00465 .0022 .0319 .1028 .1746 .2023 .1789 .1272 .0746 .0365 .01486 .0003 .0089 .0454 .1091 .1686 .1916 .1712 .1244 .0746 .03707 .0000 .0020 .0160 .0545 .1124 .1643 .1844 .1659 .1221 .07398 .0004 .0046 .0222 .0609 .1144 .1614 .1797 .1623 .12019 .0001 .0011 .0074 .0271 .0654 .1158 .1597 .1771 .160210 .0000 .0002 .0020 .0099 .0308 .0686 .1171 .1593 .176211 .0000 .0005 .0030 .0120 .0336 .0710 .1185 .160212 .0001 .0008 .0039 .0136 .0355 .0727 .120113 .0000 .0002 .0010 .0045 .0146 .0366 .073914 .0000 .0002 .0012 .0049 .0150 .037015 .0000 .0003 .0013 .0049 .014816 .0000 .0003 .0013 .004617 .0000 .0002 .001118 .0000 .000219 .000020 .0000
25 0 .7778 .2774 .0718 .0172 .0038 .0008 .0001 .0000 .0000 .0000 .00001 .1964 .3650 .1994 .0759 .0236 .0063 .0014 .0003 .0000 .0000 .00002 .0238 .2305 .2659 .1607 .0708 .0251 .0074 .0018 .0004 .0001 .00003 .0018 .0930 .2265 .2174 .1358 .0641 .0343 .0076 .0019 .0004 .00014 .0001 .0269 .1384 .2110 .1867 .1175 .0572 .0234 .0071 .0018 .00045 .0000 .0060 .0646 .1564 .1960 .1645 .1030 .0506 .0199 .0063 .00166 .0010 .0239 .0920 .1633 .1828 .1472 .0908 .0442 .0172 .00537 .0001 .0072 .0441 .1108 .1654 .1712 .1327 .0800 .0381 .01438 .0000 .0018 .0175 .0623 .1241 .1651 .1607 .1200 .0701 .03229 .0004 .0058 .0294 .0781 .1336 .1615 .1511 .1084 .060910 .0000 .0016 .0118 .0417 .0916 .1409 .1612 .1419 .0974
Tabla 4.- Probabilidades binomiales (continuación)
Licenciatura en AdministraciónIng. Marco A. Parra R.
11
Manual y Prácticas de Estadística Administrativa I
Tabla 5.- Probabilidades de Poisson.
n X .01 .05 .10 .15 .20 .25 .30 .35 .40 .45 .5025 11 .0004 .0040 .0189 .0536 .1034 .1465 .1583 .1328
12 .0000 .0012 .0074 .0268 .0650 .1140 .1511 .155013 .0003 .0025 .0115 .0350 .0760 .1236 .155014 .0000 .0007 .0042 .0161 .0434 .0867 .132815 .0002 .0013 .0064 .0212 .0520 .097416 .0000 .0004 .0021 .0088 .0266 .060917 .0001 .0006 .0031 .0115 .032218 .0000 .0001 .0009 .0042 .014319 .0000 .0002 .0013 .005320 .0000 .0001 .001621 .0000 .000422 .000123 .0000
30 0 .7397 .2146 .0424 .0076 .0012 .0002 .0000 .0000 .0000 .0000 .00001 .2242 .3389 .1413 .0404 .0093 .0018 .0003 .0000 .0000 .0000 .00002 .0328 .2586 .2277 .1034 .0337 .0086 .0018 .0003 .0000 .0000 .00003 .0031 .1270 .2361 .1703 .0785 .0269 .0072 .0015 .0003 .0000 .00004 .0002 .0451 .1771 .2028 .1325 .0604 .0208 .0056 .0012 .0002 .00005 .0000 .0124 .1023 .1861 .1723 .1047 .0464 .0157 .0041 .0008 .00016 .0027 .0474 .1368 .1795 .1455 .0829 .0353 .0115 .0029 .00067 .0005 .0180 .0828 .1538 .1662 .1219 .0652 .0263 .0081 .00198 .0001 .0058 .0420 .1106 .1593 .1501 .1009 .0505 .0191 .00559 .0000 .0016 .0181 .0676 .1298 .1573 .1328 .0823 .0382 .013310 .0004 .0067 .0355 .0909 .1416 .1502 .1152 .0656 .028011 .0001 .0022 .0161 .0551 .1103 .1471 .1396 .0976 .050912 .0000 .0006 .0064 .0291 .0749 .1254 .1474 .1265 .080613 .0001 .0022 .0134 .0444 .0935 .1360 .1433 .111514 .0000 .0007 .0054 .0231 .0611 .1101 .1424 .135415 .0002 .0019 .0106 .0351 .0783 .1242 .144516 .0000 .0006 .0042 .0177 .0489 .0953 .135417 .0002 .0015 .0079 .0269 .0642 .111518 .0000 .0005 .0031 .0129 .0379 .080619 .0001 .0010 .0054 .0196 .050920 .0000 .0003 .0020 .0088 .028021 .0001 .0006 .0034 .013322 .0000 .0002 .0012 .005523 .0000 .0003 .001924 .0001 .000625 .0000 .0001
12
Manual y Prácticas de Estadística Administrativa I
Licenciatura en AdministraciónIng. Marco A. Parra R.
X 0.1 0.2 0.3 .04 λ0.5 0.6 0.7 0.8 0.9 1.0
0 .9048 .8187 .7408 .6703 .6065 .5488 .4966 .4493 .4066 .36791 .0905 .1637 .2222 .2681 .3033 .3293 .3476 .3595 .3569 .36792 .0045 .0164 .0333 .0536 .0758 .0988 .1217 .1438 .1647 .18393 .0002 .0011 .0033 .0072 .0126 .0198 .0284 .0383 .0494 .06134 .0000 .0001 .0002 .0007 .0016 .0030 .0050 .0077 .0111 .01535 .0000 .0000 .0001 .0002 .0004 .0007 .0012 .0020 .00316 .0000 .0000 .0000 .0001 .0002 .0003 .00057 .0000 .0000 .0000 .0001
X 1.1 1.2 1.3 1.4 λ1.5 1.6 1.7 1.8 1.9 2.0
0 .3329 .3012 .2725 .2466 .2231 .2019 .1827 .1653 .1496 .13531 .3662 .3614 .3543 .3452 .3347 .3230 .3106 .2975 .2842 .27072 .2014 .2169 .2503 .2417 .2510 .2584 .2640 .2678 .2700 .27073 .0738 .0867 .0998 .1128 .1255 .1378 .1496 .1607 .1710 .18044 .02.3 .0260 .0324 .0395 .0471 .0551 .0636 .0723 .0812 .09025 .0045 .0062 .0084 .0111 .0141 .0176 .0216 .0260 .0309 .03616 .0008 .0012 .0018 .0026 .0035 .0047 .0061 .0078 .0098 .01207 .0001 .0002 .0003 .0005 .0008 .0011 .0015 .0020 .0027 .00348 .0000 .0000 .0001 .0001 .0001 .0002 .0003 .0005 .0006 .00099 .0000 .0000 .0000 .0000 .0001 .0001 .0001 .0002
X 2.1 2.2 2.3 2.4 λ2.5 2.6 2.7 2.8 2.9 3.0
0 .1225 .1108 .1003 .0907 .0821 .0743 .0672 .0608 .0550 .04981 .2572 .2438 .2306 .2177 .2052 .1931 .1815 .1703 .1396 .14942 .2700 .2681 .2652 .2613 .2565 .2510 .2450 .2384 .2314 .22403 .1890 .1966 .2033 .2090 .2138 .2176 .2205 .2225 .2237 .22404 .0992 .1082 .1169 .1254 .1336 .1414 .1488 .1557 .1622 .16805 .0417 .0476 .0538 .0602 .0668 .0735 .0804 .0872 .0940 .10086 .0146 .0174 .0206 .0241 .0278 .0319 .0362 .0407 .0455 .05047 .0044 .0055 .0068 .0083 .0099 .0118 .0139 .0163 .0188 .02168 .0011 .0015 .0019 .0025 .0031 .0038 .0047 .0057 .0068 .00819 .0003 .0004 .0005 .0007 .0009 .0011 .0014 .0018 .0022 .0027
10 .0001 .0001 .0001 .0002 .0002 .0003 .0004 .0005 .0006 .000811 .0000 .0000 .0000 .0000 .0000 .0001 .0001 .0001 .0002 .000212 .0000 .0000 .0000 .0000 .0001
X 3.1 3.2 3.3 3.4 λ3.5 3.6 3.7 3.8 3.9 4.0
0 .0450 .0408 .0369 .0334 .0302 .0273 .0247 .0224 .0202 .01831 .1397 .1304 .1217 .1135 .1057 .0984 .0915 .0850 .0789 .07332 .2165 .2087 .2008 .1929 .1850 .1771 .1692 .1615 .1539 .14653 .2237 .2226 .2209 .2186 .2158 .2125 .2087 .2046 .2001 .19544 .1734 .1781 .1823 .1858 .1888 .1912 .1931 .1944 .1951 .19545 .1075 .1140 .1203 .1264 .1322 .1377 .1429 .1477 .1522 .15636 .0555 .0608 .0662 .0716 .0771 .026 .0881 .0936 .0989 .10427 .0246 .0278 .0312 .0348 .0385 .0425 .0466 .0508 .0551 .05958 .0095 .0111 .0129 .0148 .0169 .0191 .0215 .0241 .0269 .02989 .0033 .0040 .0047 .0056 .0066 .0076 .0089 .0102 .0116 .0132
10 .0010 .0013 .0016 .0019 .0023 .0028 .0033 .0039 .0045 .005311 .0003 .0004 .0005 .0006 .0007 .0009 .0011 .0013 .0016 .001912 .0001 .0001 .0001 .0002 .0002 .0003 .0003 .0004 .0005 .000613 .0000 .0000 .0000 .0000 .0001 .0001 .0001 .0001 .0002 .000214 .0000 .0000 .0000 .0000 .0000 .0001
13
Manual y Prácticas de Estadística Administrativa I
Tabla 5.- Probabilidades de Poisson. (Continuación)
X 4.1 4.2 4.3 4.4 λ4.5 4.6 4.7 4.8 4.9 5.0
0 .0166 .0150 .0136 .0123 .0111 .0101 .0091 .0082 .0074 .00671 .0679 .0630 .0583 .0540 .0500 .0462 .0427 .0395 .0365 .03372 .1393 .1323 .1254 .1158 .1125 .1063 .1005 .0948 .0894 .08423 .1904 .1852 .1798 .1743 .1687 .1631 .1574 .1517 .1460 .14044 .1951 .1944 .1933 .1917 .1898 .1875 .1849 .1820 .1789 .17555 .1600 .1633 .1662 .1687 .1708 .1725 .1738 .1747 .1753 .17556 .1093 .1143 .1191 .1237 .1281 .1323 .1362 .1398 .1432 .14627 .0640 .0686 .0732 .0778 .0824 .0869 .0914 .0959 .1002 .10448 .0328 .0360 .0393 .0428 .0463 .0500 .0537 .0575 .0614 .06539 .0150 .0168 .0188 .0209 .0232 .0255 .0280 .0307 .0334 .0363
10 .0061 .0071 .0081 .0092 .0104 .0118 .0132 .0147 .0164 .018111 .0023 .0027 .0032 .0037 .0043 .0049 .0056 .0064 .0073 .008212 .0008 .0009 .0011 .0014 .0016 .0019 .0022 .0026 .0030 .003413 .0002 .0003 .0004 .0005 .0006 .0007 .0008 .0009 .0011 .001314 .0001 .0001 .0001 .0001 .0002 .0002 .0003 .0003 .0004 .000515 .0000 .0000 .0000 .0000 .0000 .0000 .0001 .0001 .0001 .0002
X 5.1 5.2 5.3 5.4 λ
5.5 5.6 5.7 5.8 5.9 6.00 .0061 .0055 .0050 .0045 .0041 .0037 .0037 .0030 .0027 .00251 .0311 .0287 .0265 .0244 .0255 .0207 .0191 .0176 .0162 .01492 .0793 .0746 .0701 .0659 .0618 .0580 .0544 .0509 .0477 .04463 .1348 .1293 .1239 .1185 .1133 .1082 .1033 .0985 .0938 .08924 .1719 .1681 .1641 .1600 .1558 .1515 .1472 .1428 .1383 .13395 .1753 .1748 .1740 .1728 .1714 .1697 .1678 .1656 .1632 .16066 .1490 .1515 .1537 .1555 .1571 .1584 .1594 .1601 .1605 .16067 .1086 .1125 .1163 .1200 .1234 .1267 .1298 .1326 .1353 .13778 .0692 .0731 .0771 .0810 .0849 .0887 .0925 .0962 .0998 .10339 .0392 .0423 .0454 .0486 .0519 .0552 .0586 .0620 .0654 .0688
10 .0200 .0220 .0241 .0262 .0285 .0309 .0334 .0359 .0386 .041311 .0093 .0104 .0116 .0129 .0143 .0157 .0173 .0190 .0207 .022512 .0039 .0045 .0051 .0058 .0065 .0073 .0082 .0092 .0102 .011313 .0015 .0018 .0021 .0024 .0028 .0032 .0036 .0041 .0046 .005314 .0006 .0007 .0008 .0009 .0011 .0013 .0015 .0017 .0019 .002215 .0002 .0002 .0003 .0003 .0004 .0005 .0006 .0007 .0008 .000916 .0001 .0001 .0001 .0001 .0001 .0002 .0002 .0002 .0003 .000317 .0000 .0000 .0000 .0000 .0000 .0001 .0001 .0001 .0001 .0001
X 6.1 6.2 6.3 6.4 λ
6.5 6.6 6.7 6.8 6.9 7.00 .0022 .0020 .0018 .0017 .0015 .0014 .0012 .0011 .0010 .00091 .0137 .0126 .0116 .0106 .0098 .0090 .0082 .0076 .0070 .00642 .0417 .0390 .0364 .0340 .0318 .0296 .0276 .0258 .0240 .02233 .0848 .0806 .0765 .0726 .0688 .0652 .0617 .0584 .0552 .05214 .1294 .1249 .1205 .1162 .1118 .1076 .1034 .0992 .0952 .09125 .1579 .1549 .1519 .1487 .1454 .1420 .1385 .1349 .1314 .12776 .1605 .1601 .1595 .1586 .1575 .1562 .1546 .1529 .1511 .14907 .1399 .1418 .1435 .1450 .1462 .1472 .1480 .1486 .1489 .14908 .1066 .1099 .1130 .1160 .1188 .1215 .1240 .1263 .1284 .13049 .0723 .0757 .0791 .0825 .0858 .0891 .0923 .0954 .0985 .1014
10 .0441 .0469 .0498 .0528 .0558 .0558 .0618 .0649 .0679 .071011 .0245 .0265 .0285 .0307 .0330 .0353 .0377 .0401 .0426 .045212 .0124 .0137 .0150 .0164 .0179 .0194 .0210 .0227 .0245 .026213 .0058 .0065 .0073 .0081 .0089 .0098 .0108 .0119 .0130 .014214 .0025 .0029 .0033 .0037 .0041 .0046 .0052 .0058 .0064 .007115 .0010 .0012 .0014 .0016 .0018 .0020 .0023 .0026 .0029 .003316 .0004 .0005 .0005 .0006 .0007 .0008 .0010 .0011 .0013 .001417 .0001 .0002 .0002 .0002 .0003 .0003 .0004 .0004 .0005 .000618 .0000 .0001 .0001 .0001 .0001 .0001 .0001 .0002 .0002 .000219 .0000 .0000 .0000 .0000 .0000 .0000 .0001 .0001 .0001
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Manual y Prácticas de Estadística Administrativa I
Tabla 5.- Probabilidades de Poisson. (Continuación)
X 7.1 7.2 7.3 7.4 λ7.5 7.6 7.7 7.8 7.9 8.0
0 .0008 .0007 .0007 .0006 .0006 .0005 .0005 .0004 .0004 .00031 .0059 .0054 .0049 .0045 .0041 .0038 .0035 .0032 .0029 .00272 .0208 .0194 .0180 .0167 .0156 .0145 .0134 .0125 .0116 .01073 .0492 .0464 .0438 .0413 .0389 .0366 .0345 .0324 .0305 .02864 .0874 .0836 .0799 .0764 .0729 .0696 .0663 .0632 .0602 .05735 .1241 .1204 .1167 .1130 .1094 .1057 .1021 .0986 .0951 .09166 .1468 .1445 .1420 .1394 .1367 .1339 .1311 .1282 .1252 .12217 .1489 .1486 .1481 .1474 .1465 .1454 .1442 .1428 .1413 .13968 .1321 .1337 .1351 .1363 .1373 .1382 .1388 .1392 .1395 .13969 .1042 .1070 .1096 .1121 .1144 .1167 .1187 .1207 .1224 .1241
10 .0740 .0770 .0800 .0829 .0858 .0887 .0914 .0941 .0967 .099311 .0478 .0504 .0531 .0558 .0585 .0613 .0640 .0667 .0695 .072212 .0283 .0303 .0323 .0344 .0366 .0388 .0411 .0434 .0457 .048113 .0154 .0168 .0181 .0196 .0211 .0227 .0243 .0260 .0278 .029614 .0078 .0086 .0095 .0104 .0113 .0123 .0134 .0145 .0157 .016915 .0037 .0041 .0046 .0051 .0057 .0062 .0069 .0075 .0083 .009016 .0016 .0019 .0021 .0024 .0026 .0030 .0033 .0037 .0041 .004517 .0007 .0008 .0009 .0010 .0012 .0013 .0015 .0017 .0019 .002118 .0003 .0003 .0004 .0004 .0005 .0006 .0006 .0007 .0008 .000919 .0001 .0001 .0001 .0002 .0002 .0002 .0003 .0003 .0003 .000420 .0000 .0000 .0001 .0001 .0001 .0001 .0001 .0001 .0001 .000221 .0000 .0000 .0000 .0000 .0000 .0000 .0001 .0001
X 8.1 8.2 8.3 8.4 λ
8.5 8.6 8.7 8.8 8.9 9.00 .0003 .0003 .0002 .0002 .0002 .0002 .0002 .0002 .0001 .00011 .0025 .0023 .0021 .0019 .0017 .0016 .0014 .0013 .0012 .00112 .0100 .0092 .0086 .0079 .0074 .0068 .0063 .0058 .0054 .00503 .0269 .0252 .0237 .0222 .0208 .0195 .0183 .0171 .0160 .01504 .0544 .0517 .0491 .0466 .0443 .0420 .0398 .0377 .0357 .03375 .0882 .0849 .0816 .0784 .0752 .0722 .0692 .0663 .0635 .06076 .1191 .1160 .1128 .1097 .1066 .1034 .1003 .0972 .0941 .09117 .1378 .1358 .1338 .1317 .1294 .1271 .1247 .1222 .1197 .11718 .1395 .1392 .1388 .1382 .1375 .1366 .1356 .1344 .1332 .13189 .1256 .1269 .1280 .1290 .1299 .1306 .1311 .1315 .1317 .1318
10 .1017 .1040 .1063 .1084 .1104 .1123 .1140 .1157 .1172 .118611 .0749 .0776 .0802 .0828 .0853 .0878 .0902 .0925 .0948 .097012 .0505 .0530 .0555 .0579 .0604 .0629 .0654 .0679 .0703 .072813 .0315 .0334 .0354 .0374 .0395 .0416 .0438 .0459 .0481 .050414 .0182 .0196 .0210 .0225 .0240 .0256 .0272 .0289 .0306 .032415 .0098 .0107 .0116 .0126 .0136 .0147 .0158 .0169 .0182 .019416 .0050 .0055 .0060 .0066 .0072 .0079 .0086 .0093 .0101 .010917 .0024 .0026 .0029 .0033 .0036 .0040 .0044 .0048 .0053 .005818 .0011 .0012 .0014 .0015 .0017 .0019 .0021 .0024 .0026 .002919 .0005 .0005 .0006 .0007 .0008 .0009 .0010 .0011 .0012 .001420 .0002 .0002 .0002 .0003 .0003 .0004 .0004 .0005 .0005 .000621 .0001 .0001 .0001 .0001 .0001 .0002 .0002 .0002 .0002 .000322 .0000 .0000 .0000 .0000 .0001 .0001 .0001 .0001 .0001 .0001
X 9.1 9.2 9.3 9.4 λ9.5 9.6 9.7 9.8 9.9 10.0
0 .0001 .0001 .0001 .0001 .0001 .0001 .0001 .0001 .0001 .00001 .0010 .0009 .0009 .0008 .0007 .0007 .0006 .0005 .0005 .00052 .0046 .0043 .0040 .0037 .0034 .0031 .0029 .0027 .0025 .00233 .0140 .0131 .0123 .0115 .0107 .0100 .0093 .0087 .0081 .00764 .0319 .0302 .0285 .0269 .0254 .0240 .0226 .0213 .0201 .01895 .0581 .0555 .0530 .0506 .0483 .0460 .0439 .0418 .0398 .03786 .0881 .0851 .0822 .0793 .0764 .0736 .0709 .0682 .0656 .06317 .1145 .1118 .1091 .1064 .1037 .1010 .0982 .0955 .0928 .0901
Licenciatura en AdministraciónIng. Marco A. Parra R.
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Manual y Prácticas de Estadística Administrativa I
Tabla 5.- Probabilidades de Poisson. (Continuación)
X 9.1 9.2 9.3 9.4 λ9.5 9.6 9.7 9.8 9.9 10.0
8 .1302 .1286 .1269 .1251 .1232 .1212 .1191 .1170 .1148 .11269 .1317 .1315 .1311 .1306 .1300 .1293 .1284 .1274 .1263 .1251
10 .1198 .1210 .1219 .1228 .1235 .1241 .1245 .1249 .1250 .125111 .0991 .1012 .1031 .1049 .1067 .1083 .1098 .1112 .1125 .113712 .0752 .0776 .0779 .0822 .0844 .0866 .0888 .0908 .0928 .094813 .0526 .0549 .0572 .0594 .0617 .0640 .0662 .0685 .0707 .072914 .0342 .0361 .0380 .0399 .0419 .0439 .0459 .0479 .0500 .052115 .0208 .0221 .0235 .0250 .0265 .0281 .0297 .0313 .0330 .034716 .0118 .0127 .0137 .0147 .0157 .0168 .0180 .0192 .0204 .021717 .0063 .0069 .0075 .0081 .0088 .0095 .0103 .0111 .0119 .012818 .0032 .0053 .0039 .0042 .0046 .0051 .0055 .0060 .0065 .007119 .0015 .0017 .0019 .0021 .0023 .0026 .0028 .0031 .0034 .003720 .0007 .0008 .0009 .0010 .0011 .0012 .0014 .0015 .0017 .001921 .0003 .0003 .0004 .0004 .0005 .0006 .0006 .0007 .0008 .000922 .0001 .0001 .0002 .0002 .0002 .0002 .0003 .0003 .0004 .000423 .0000 .0001 .0001 .0001 .0001 .0001 .0001 .0001 .0002 .000224 .0000 .0000 .0000 .0000 .0000 .0000 .0001 .0001 .0001
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Manual y Prácticas de Estadística Administrativa I
Tabla 6.- Factores para las gráficas de control.
Tamaño de muestra
nc4
c5 d2 d3 D3 D4 A2
2 0.7979 0.6028 1.128 0.853 0 3.267 1.8803 0.8862 0.4633 1.693 0.888 0 2.574 1.0234 0.9213 0.3889 2.059 0.880 0 2.282 0.7295 0.9400 0.3412 2.326 0.864 0 2114 0.5776 0.9515 0.3076 2.534 0.848 0 2.004 0.4837 0.9594 0.2820 2.704 0.833 0.076 1.924 0.4198 0.9650 0.2622 2.847 0.820 0.136 1.864 1.3739 0.9693 0.2459 2.970 0.808 0.184 1.816 0.33710 0.9727 0.2321 3.078 0.797 0.223 1.777 0.30811 0.9754 0.2204 3.173 0.787 0.256 1.744 0.28512 0.9776 0.2105 3.258 0.778 0.283 1.717 0.26613 0.9794 0.2019 3.336 0.770 0.307 1.693 0.24914 0.9810 0.1940 3.407 0.763 0.328 1.672 0.23515 0.9823 0.1873 3.472 0.756 0.347 1.653 0.22316 0.9835 0.1809 3.532 0.750 0.363 1.637 0.21217 0.9845 0.1754 3.588 0.744 0.378 1.622 0.20318 0.9854 0.1703 3.640 0.739 0.391 1.608 0.19419 0.9862 0.1656 3.689 0.734 0.403 1.597 0.18720 0.9869 0.1613 3.735 0.729 0.415 1.585 0.18021 0.9876 0.1570 3.778 0.724 0.425 1.575 0.17322 0.9882 0.1532 3.819 0.720 0.434 1.566 0.16723 0.9887 0.1499 3.858 0.716 0.443 1.557 0.16224 0.9892 0.1466 3.895 0.712 0.451 1.548 0.15725 0.9896 0.1438 3.931 0.708 0.459 1.541 0.153
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Manual y Prácticas de Estadística Administrativa I
Tabla 7.- Distribución normal estandarizada.La entrada representa el área debajo de la distribución normal estandarizada desde la media hasta Z.
Z .00 .01 .02 .03 .04 .05 .06 .07 .08 .090.0 .0000 .0040 .0080 .0120 .0160 .0199 .0239 .0279 .0319 .03590.1 .0398 .0438 .0478 .0517 .0557 .0596 .0636 .0675 .0714 .07530.2 .0793 .0832 .0871 .0910 .0948 .0987 .1026 .1064 .1103 .11410.3 .1179 .1217 .1255 .1293 .1331 .1368 .1406 .1443 .1480 .15170.4 .1554 .1591 .1628 .1664 .1700 .1736 .1772 .1808 .1844 .18790.5 .1915 .1950 .1985 .2019 .2054 .2088 .2123 .2157 .2190 .22240.6 .2257 .2291 .2324 .2357 .2389 .2422 .2454 .2486 .2518 .25490.7 .2580 .2612 .2642 .2673 .2704 .2734 .2764 .2794 .2823 .28520.8 .2881 .2910 .2939 .2967 .2995 .3023 .3051 .3078 .3106 .31330.9 .3159 .3186 .3213 .3238 .3264 .3289 .3315 .3340 .3365 .33891.0 .3413 .3438 .3461 .3845 .3508 .3531 .3554 .3577 .3599 .36211.1 .3643 .3665 .3686 .3708 .3729 .3749 .3770 .3790 .3810 .38301.2 .3849 .3869 .3888 .3907 .3925 .3944 .3962 .3980 .3997 .40151.3 .4032 .4049 .4066 .4082 .4099 .4115 .4131 .4147 .4162 .41771.4 .4192 .4207 .4222 .4236 .4251 .4265 .4279 .4292 .4306 .43191.5 .4332 .4345 .4357 .4370 .4382 .4394 .4406 .4418 .4429 .44411.6 .4452 .4463 .4474 .4484 .4495 .4505 .4515 .4525 .4535 .45451.7 .4554 .4564 .4573 .4582 .4591 .4599 .4608 .4616 .4625 .46331.8 .4641 .4649 .4656 .4664 .4671 .4678 .4686 .4693 .4699 .47061.9 .4713 .4719 .4726 .4732 .4738 .4744 .4750 .4756 .4761 .47672.0 .4772 .4778 .4783 .4788 .4793 .4798 .4803 .4808 .4812 .48172.1 .4821 .4826 .4830 .4834 .4838 .4842 .4846 .4850 .4854 .48572.2 .4861 .4864 .4868 .4871 .4875 .4878 .4881 .4884 .4887 .48902.3 .4893 .4896 .4898 .4901 .4904 .4906 .4909 .4911 .4913 .49162.4 .4918 .4920 .4922 .4925 .4927 .4929 .4931 .4932 .4934 .49362.5 .4938 .4940 .4941 .4943 .4945 .4946 .4948 .4949 .4951 .49522.6 .4953 .4955 .4956 .4957 .4959 .4960 .4961 .4962 .4963 .49642.7 .4965 .4966 .4967 .4968 .4969 .4970 .4971 .4972 .4973 .49742.8 .4974 .4975 .4976 .4977 .4977 .4978 .4979 .4979 .4980 .49812.9 .4981 .4982 .4982 .4983 .4984 .4984 .4985 .4985 .4986 .49863.0 .49865 .49869 .49874 .49878 .49882 .49886 .49889 .49893 .49897 .499003.1 .49903 .49906 .49910 .49913 .49916 .49918 .49921 .49924 .49926 .499293.2 .49931 .49934 .49936 .49938 .49940 .49942 .49944 .49946 .49948 .499503.3 .49952 .49953 .49955 .49957 .49958 .49960 .49961 .49962 .49964 .499653.4 .49966 .49968 .49969 .49970 .49971 .49972 .49973 .49974 .49975 .499763.5 .49977 .49978 .49978 .49979 .49980 .49981 .49981 .49982 .49983 .499833.6 .49984 .49985 .49985 .49986 .49986 .49987 .49987 .49988 .49988 .499893.7 .49989 .49990 .49990 .49990 .49991 .49991 .49992 .49992 .49992 .499923.8 .49993 .49993 .49993 .49994 .49994 .49994 .49994 .49995 .49995 .499953.9 .49995 .49995 .49996 .49996 .49996 .49996 .49996 .49996 .49997 .49997
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