TABELA 2 – DISTRIBUIÇÃO DE POISSON

A. Função probabilidade B. Função de distribuição

!

)()|( x

e

xXPxf

x

λ

−

===

∑

=

−

=≤= x

i

e

xXPxF

0!

)()|(

λ

x 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 x 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0

0 .9048 .8187 .7408 .6703 .6065 .5488 .4966 .4493 .4066 .3679 0 .9048 .8187 .7408 .6703 .6065 .5488 .4966 .4493 .4066 .3679

1 .0905 .1637 .2222 .2681 .3033 .3293 .3476 .3595 .3659 .3679 1 .9953 .9825 .9631 .9384 .9098 .8781 .8442 .8088 .7725 .7358

2 .0045 .0164 .0333 .0536 .0758 .0988 .1217 .1438 .1647 .1839 2 .9998 .9989 .9964 .9921 .9856 .9769 .9659 .9526 .9371 .9197

3 .0002 .0011 .0033 .0072 .0126 .0198 .0284 .0383 .0494 .0613 3 1.0000 .9999 .9997 .9992 .9982 .9966 .9942 .9909 .9865 .9810

4 .0000 .0001 .0003 .0007 .0016 .0030 .0050 .0077 .0111 .0153 4 1.0000 1.0000 1.0000 .9999 .9998 .9996 .9992 .9986 .9977 .9963

5 .0000 .0000 .0000 .0001 .0002 .0004 .0007 .0012 .0020 .0031 5 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 .9999 .9998 .9997 .9994

6 .0000 .0000 .0000 .0000 .0000 .0000 .0001 .0002 .0003 .0005 6 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 .9999

7 .0000 .0000 .0000 .0000 .0000 .0000 .0000 .0000 .0000 .0001 7 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000

x 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 x 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0

0 .3329 .3012 .2725 .2466 .2231 .2019 .1827 .1653 .1496 .1353 0 .3329 .3012 .2725 .2466 .2231 .2019 .1827 .1653 .1496 .1353

1 .3662 .3614 .3543 .3452 .3347 .3230 .3106 .2975 .2842 .2707 1 .6990 .6626 .6268 .5918 .5578 .5249 .4932 .4628 .4337 .4060

2 .2014 .2169 .2303 .2417 .2510 .2584 .2640 .2678 .2700 .2707 2 .9004 .8795 .8571 .8335 .8088 .7834 .7572 .7306 .7037 .6767

3 .0738 .0867 .0998 .1128 .1255 .1378 .1496 .1607 .1710 .1804 3 .9743 .9662 .9569 .9463 .9344 .9212 .9068 .8913 .8747 .8571

4 .0203 .0260 .0324 .0395 .0471 .0551 .0636 .0723 .0812 .0902 4 .9946 .9923 .9893 .9857 .9814 .9763 .9704 .9636 .9559 .9473

5 .0045 .0062 .0084 .0111 .0141 .0176 .0216 .0260 .0309 .0361 5 .9990 .9985 .9978 .9968 .9955 .9940 .9920 .9896 .9868 .9834

6 .0008 .0012 .0018 .0026 .0035 .0047 .0061 .0078 .0098 .0120 6 .9999 .9997 .9996 .9994 .9991 .9987 .9981 .9974 .9966 .9955

7 .0001 .0002 .0003 .0005 .0008 .0011 .0015 .0020 .0027 .0034 7 1.0000 1.0000 .9999 .9999 .9998 .9997 .9996 .9994 .9992 .9989

8 .0000 .0000 .0001 .0001 .0001 .0002 .0003 .0005 .0006 .0009 8 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 .9999 .9999 .9998 .9998

9 .0000 .0000 .0000 .0000 .0000 .0000 .0001 .0001 .0001 .0002 9 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000

x 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0 x 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0

0 .1225 .1108 .1003 .0907 .0821 .0743 .0672 .0608 .0550 .0498 0 .1225 .1108 .1003 .0907 .0821 .0743 .0672 .0608 .0550 .0498

1 .2572 .2438 .2306 .2177 .2052 .1931 .1815 .1703 .1596 .1494 1 .3796 .3546 .3309 .3084 .2873 .2674 .2487 .2311 .2146 .1991

2 .2700 .2681 .2652 .2613 .2565 .2510 .2450 .2384 .2314 .2240 2 .6496 .6227 .5960 .5697 .5438 .5184 .4936 .4695 .4460 .4232

3 .1890 .1966 .2033 .2090 .2138 .2176 .2205 .2225 .2237 .2240 3 .8386 .8194 .7993 .7787 .7576 .7360 .7141 .6919 .6696 .6472

4 .0992 .1082 .1169 .1254 .1336 .1414 .1488 .1557 .1622 .1680 4 .9379 .9275 .9162 .9041 .8912 .8774 .8629 .8477 .8318 .8153

5 .0417 .0476 .0538 .0602 .0668 .0735 .0804 .0872 .0940 .1008 5 .9796 .9751 .9700 .9643 .9580 .9510 .9433 .9349 .9258 .9161

6 .0146 .0174 .0206 .0241 .0278 .0319 .0362 .0407 .0455 .0504 6 .9941 .9925 .9906 .9884 .9858 .9828 .9794 .9756 .9713 .9665

7 .0044 .0055 .0068 .0083 .0099 .0118 .0139 .0163 .0188 .0216 7 .9985 .9980 .9974 .9967 .9958 .9947 .9934 .9919 .9901 .9881

8 .0011 .0015 .0019 .0025 .0031 .0038 .0047 .0057 .0068 .0081 8 .9997 .9995 .9994 .9991 .9989 .9985 .9981 .9976 .9969 .9962

9 .0003 .0004 .0005 .0007 .0009 .0011 .0014 .0018 .0022 .0027 9 .9999 .9999 .9999 .9998 .9997 .9996 .9995 .9993 .9991 .9989

10 .0001 .0001 .0001 .0002 .0002 .0003 .0004 .0005 .0006 .0008 10 1.0000 1.0000 1.0000 1.0000 .9999 .9999 .9999 .9998 .9998 .9997

11 .0000 .0000 .0000 .0000 .0000 .0001 .0001 .0001 .0002 .0002 11 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 .9999 .9999

12 .0000 .0000 .0000 .0000 .0000 .0000 .0000 .0000 .0000 .0001 12 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000

TABELA 2 – DISTRIBUIÇÃO DE POISSON, Notas de estudo de Probabilidade

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TABELA 2 – DISTRIBUIÇÃO DE POISSONA. Função probabilidade B. Função de distribuição x λ− e λ)()|( xXPxf λ===! x

λ^