Задачи по теории вероятностей. Симушкин С.В - 220 стр.

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220 Таблицы
Таблица 1. Стандартное нормальное распределение N(0, 1)
Φ(x) = P{ξ < x} =
1
2π
Z
x
−∞
e
1
2
t
2
dt
сотые доли x
x
0 1 2 3 4 5 6 7 8 9
0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5359
0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.5753
0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141
0.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517
0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879
0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224
0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549
0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852
0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133
0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389
1.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621
1.1 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830
1.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015
1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177
1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319
1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441
1.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545
1.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633
1.8 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706
1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767
2.0 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812 0.9817
2.1 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857
2.2 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890
2.3 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916
2.4 0.9918 0.9920 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936
2.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952
2.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964
2.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974
2.8 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981
2.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986
3.0 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990
значащие цифры после 0.999
3.5 767 776 784 792 800 807 815 822 828 835
4.0 968 970 971 972 973 974 975 976 977 978
4.5 997 997 997 997 997 997 997 998 998 998
Φ(1.282) 0.9, Φ(1.645) 0.95, Φ(1.960) 0.975, Φ(2.326) 0.99
220                                           Таблицы




  Таблица 1. Стандартное нормальное распределение N(0, 1)
                                  Z x
            Φ(x) = P{ξ < x} = √1
                                          1 2
                                       e− 2 t dt
                                                        2π    −∞

                                              сотые доли x
      x      0        1        2        3        4         5        6         7        8        9
  0.0     0.5000   0.5040   0.5080   0.5120   0.5160    0.5199   0.5239    0.5279   0.5319   0.5359
  0.1     0.5398   0.5438   0.5478   0.5517   0.5557    0.5596   0.5636    0.5675   0.5714   0.5753
  0.2     0.5793   0.5832   0.5871   0.5910   0.5948    0.5987   0.6026    0.6064   0.6103   0.6141
  0.3     0.6179   0.6217   0.6255   0.6293   0.6331    0.6368   0.6406    0.6443   0.6480   0.6517
  0.4     0.6554   0.6591   0.6628   0.6664   0.6700    0.6736   0.6772    0.6808   0.6844   0.6879
  0.5     0.6915   0.6950   0.6985   0.7019   0.7054    0.7088   0.7123    0.7157   0.7190   0.7224
  0.6     0.7257   0.7291   0.7324   0.7357   0.7389    0.7422   0.7454    0.7486   0.7517   0.7549
  0.7     0.7580   0.7611   0.7642   0.7673   0.7704    0.7734   0.7764    0.7794   0.7823   0.7852
  0.8     0.7881   0.7910   0.7939   0.7967   0.7995    0.8023   0.8051    0.8078   0.8106   0.8133
  0.9     0.8159   0.8186   0.8212   0.8238   0.8264    0.8289   0.8315    0.8340   0.8365   0.8389
  1.0     0.8413   0.8438   0.8461   0.8485   0.8508    0.8531   0.8554    0.8577   0.8599   0.8621
  1.1     0.8643   0.8665   0.8686   0.8708   0.8729    0.8749   0.8770    0.8790   0.8810   0.8830
  1.2     0.8849   0.8869   0.8888   0.8907   0.8925    0.8944   0.8962    0.8980   0.8997   0.9015
  1.3     0.9032   0.9049   0.9066   0.9082   0.9099    0.9115   0.9131    0.9147   0.9162   0.9177
  1.4     0.9192   0.9207   0.9222   0.9236   0.9251    0.9265   0.9279    0.9292   0.9306   0.9319
  1.5     0.9332   0.9345   0.9357   0.9370   0.9382    0.9394   0.9406    0.9418   0.9429   0.9441
  1.6     0.9452   0.9463   0.9474   0.9484   0.9495    0.9505   0.9515    0.9525   0.9535   0.9545
  1.7     0.9554   0.9564   0.9573   0.9582   0.9591    0.9599   0.9608    0.9616   0.9625   0.9633
  1.8     0.9641   0.9649   0.9656   0.9664   0.9671    0.9678   0.9686    0.9693   0.9699   0.9706
  1.9     0.9713   0.9719   0.9726   0.9732   0.9738    0.9744   0.9750    0.9756   0.9761   0.9767
  2.0     0.9772   0.9778   0.9783   0.9788   0.9793    0.9798   0.9803    0.9808   0.9812   0.9817
  2.1     0.9821   0.9826   0.9830   0.9834   0.9838    0.9842   0.9846    0.9850   0.9854   0.9857
  2.2     0.9861   0.9864   0.9868   0.9871   0.9875    0.9878   0.9881    0.9884   0.9887   0.9890
  2.3     0.9893   0.9896   0.9898   0.9901   0.9904    0.9906   0.9909    0.9911   0.9913   0.9916
  2.4     0.9918   0.9920   0.9922   0.9925   0.9927    0.9929   0.9931    0.9932   0.9934   0.9936
  2.5     0.9938   0.9940   0.9941   0.9943   0.9945    0.9946   0.9948    0.9949   0.9951   0.9952
  2.6     0.9953   0.9955   0.9956   0.9957   0.9959    0.9960   0.9961    0.9962   0.9963   0.9964
  2.7     0.9965   0.9966   0.9967   0.9968   0.9969    0.9970   0.9971    0.9972   0.9973   0.9974
  2.8     0.9974   0.9975   0.9976   0.9977   0.9977    0.9978   0.9979    0.9979   0.9980   0.9981
  2.9     0.9981   0.9982   0.9982   0.9983   0.9984    0.9984   0.9985    0.9985   0.9986   0.9986
  3.0     0.9987   0.9987   0.9987   0.9988   0.9988    0.9989   0.9989    0.9989   0.9990   0.9990
            значащие цифры после 0.999
  3.5        767      776     784      792       800       807     815       822      828       835
  4.0        968      970     971      972       973       974     975       976      977       978
  4.5        997      997     997      997       997       997     997       998      998       998
          Φ(1.282) ≈ 0.9,     Φ(1.645) ≈ 0.95,         Φ(1.960) ≈ 0.975,      Φ(2.326) ≈ 0.99