■付表 ポアソン分布表 Poisson distribution table − 【知と情報の科学】   中川雅央(滋賀大学)

 表計算ソフトの統計関数に対応したポアソン分布の統計数値表です.このページには,ポアソン分布の累積確率(下側)を示しています.
 発生回数の平均λ ,および事象の発生回数(イベント数)x をそれぞれ表の上と左の見出しから拾い,対応する累積確率 P( X x ) を読み取ります.
 主な表計算ソフトにおいて,この表と同様の役割をもつ関数は POISSON です.この統計関数は引数に,イベント数x ,平均λ および関数形式(true)を与えると,表と同じ累積確率が出力されます.

Poisson distribution

ポアソン分布表 累積確率(下側)
x
λ
0.001      0.005      0.01       0.05       0.1        0.2        0.3        0.4        0.5        0.6        0.7       
0
1
2
3
4
5
6
7
8
9
0.99900050 0.99501248 0.99004983 0.95122942 0.90483742 0.81873075 0.74081822 0.67032005 0.60653066 0.54881164 0.49658530
0.99999950 0.99998754 0.99995033 0.99879090 0.99532116 0.98247690 0.96306369 0.93844806 0.90979599 0.87809862 0.84419502
1.00000000 0.99999998 0.99999983 0.99997993 0.99984535 0.99885152 0.99640051 0.99207367 0.98561232 0.97688471 0.96585842
1.00000000 1.00000000 1.00000000 0.99999975 0.99999615 0.99994316 0.99973419 0.99922375 0.99824838 0.99664193 0.99424654
1.00000000 1.00000000 1.00000000 1.00000000 0.99999992 0.99999774 0.99998421 0.99993876 0.99982788 0.99960551 0.99921446
1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 0.99999993 0.99999922 0.99999596 0.99998584 0.99996114 0.99990997
1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 0.99999997 0.99999977 0.99999900 0.99999671 0.99999112
1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 0.99999999 0.99999994 0.99999976 0.99999923
1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 0.99999998 0.99999994
1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000

ポアソン分布表 累積確率(下側)
x
λ
0.8        0.9        1.0        1.1        1.2        1.3        1.4        1.5        1.6        1.7        1.8       
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
0.44932896 0.40656966 0.36787944 0.33287108 0.30119421 0.27253179 0.24659696 0.22313016 0.20189652 0.18268352 0.16529889
0.80879214 0.77248235 0.73575888 0.69902928 0.66262727 0.62682312 0.59183271 0.55782540 0.52493095 0.49324551 0.46283689
0.95257740 0.93714307 0.91969860 0.90041628 0.87948710 0.85711249 0.83349774 0.80884683 0.78335849 0.75722321 0.73062109
0.99092014 0.98654128 0.98101184 0.97425818 0.96623103 0.95690455 0.94627475 0.93435755 0.92118651 0.90681057 0.89129161
0.99858869 0.99765588 0.99634015 0.99456471 0.99225421 0.98933697 0.98574670 0.98142406 0.97631772 0.97038519 0.96359334
0.99981566 0.99965651 0.99940582 0.99903214 0.99849977 0.99776940 0.99679885 0.99554402 0.99395971 0.99200057 0.98962196
0.99997925 0.99995660 0.99991676 0.99985117 0.99974889 0.99959642 0.99937769 0.99907401 0.99866424 0.99812492 0.99743055
0.99999795 0.99999518 0.99998975 0.99997988 0.99996302 0.99993573 0.99989345 0.99983043 0.99973956 0.99961227 0.99943847
0.99999982 0.99999952 0.99999887 0.99999757 0.99999514 0.99999086 0.99998371 0.99997226 0.99995462 0.99992833 0.99989026
0.99999999 0.99999996 0.99999989 0.99999974 0.99999942 0.99999883 0.99999775 0.99999590 0.99999286 0.99998803 0.99998061
1.00000000 1.00000000 0.99999999 0.99999997 0.99999994 0.99999986 0.99999972 0.99999945 0.99999898 0.99999818 0.99999688
1.00000000 1.00000000 1.00000000 1.00000000 0.99999999 0.99999999 0.99999997 0.99999993 0.99999986 0.99999974 0.99999954
1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 0.99999999 0.99999998 0.99999997 0.99999994
1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 0.99999999
1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000

ポアソン分布表 累積確率(下側)
x
λ
1.9        2          2.5        3          4          5          6          7          8          9          10        
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
0.14956862 0.13533528 0.08208500 0.04978707 0.01831564 0.00673795 0.00247875 0.00091188 0.00033546 0.00012341 0.00004540
0.43374900 0.40600585 0.28729750 0.19914827 0.09157819 0.04042768 0.01735127 0.00729506 0.00301916 0.00123410 0.00049940
0.70372035 0.67667642 0.54381312 0.42319008 0.23810331 0.12465202 0.06196880 0.02963616 0.01375397 0.00623220 0.00276940
0.87470221 0.85712346 0.75757613 0.64723189 0.43347012 0.26502592 0.15120388 0.08176542 0.04238011 0.02122649 0.01033605
0.95591860 0.94734698 0.89117802 0.81526324 0.62883694 0.44049329 0.28505650 0.17299161 0.09963240 0.05496364 0.02925269
0.98678082 0.98343639 0.95797896 0.91608206 0.78513039 0.61596065 0.44567964 0.30070828 0.19123606 0.11569052 0.06708596
0.99655386 0.99546619 0.98581269 0.96649146 0.88932602 0.76218346 0.60630278 0.44971106 0.31337428 0.20678084 0.13014142
0.99920654 0.99890328 0.99575330 0.98809550 0.94886638 0.86662833 0.74397976 0.59871384 0.45296081 0.32389696 0.22022065
0.99983655 0.99976255 0.99885975 0.99619701 0.97863657 0.93190637 0.84723749 0.72909127 0.59254734 0.45565260 0.33281968
0.99996956 0.99995350 0.99972265 0.99889751 0.99186776 0.96817194 0.91607598 0.83049594 0.71662426 0.58740824 0.45792971
0.99999483 0.99999169 0.99993837 0.99970766 0.99716023 0.98630473 0.95737908 0.90147921 0.81588579 0.70598832 0.58303975
0.99999919 0.99999864 0.99998740 0.99992861 0.99908477 0.99454691 0.97990804 0.94665038 0.88807600 0.80300838 0.69677615
0.99999988 0.99999979 0.99999762 0.99998385 0.99972628 0.99798115 0.99117252 0.97300023 0.93620280 0.87577343 0.79155648
0.99999998 0.99999997 0.99999958 0.99999660 0.99992367 0.99930201 0.99637151 0.98718861 0.96581930 0.92614923 0.86446442
1.00000000 1.00000000 0.99999993 0.99999933 0.99998007 0.99977375 0.99859965 0.99428280 0.98274301 0.95853367 0.91654153
1.00000000 1.00000000 0.99999999 0.99999988 0.99999511 0.99993099 0.99949090 0.99759342 0.99176899 0.97796434 0.95125960
1.00000000 1.00000000 1.00000000 0.99999998 0.99999887 0.99998013 0.99982512 0.99904182 0.99628198 0.98889409 0.97295839
1.00000000 1.00000000 1.00000000 1.00000000 0.99999975 0.99999458 0.99994308 0.99963822 0.99840574 0.99468043 0.98572239
1.00000000 1.00000000 1.00000000 1.00000000 0.99999995 0.99999860 0.99998240 0.99987015 0.99934963 0.99757360 0.99281350
1.00000000 1.00000000 1.00000000 1.00000000 0.99999999 0.99999965 0.99999482 0.99995560 0.99974706 0.99894405 0.99654566
1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 0.99999992 0.99999854 0.99998550 0.99990603 0.99956075 0.99841174
1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 0.99999998 0.99999961 0.99999547 0.99996659 0.99982505 0.99930035
1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 0.99999990 0.99999865 0.99998861 0.99993317 0.99970426
1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 0.99999998 0.99999961 0.99999627 0.99997548 0.99987988
1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 0.99999999 0.99999989 0.99999883 0.99999135 0.99995305
1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 0.99999997 0.99999964 0.99999706 0.99998232
1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 0.99999999 0.99999990 0.99999904 0.99999358
1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 0.99999997 0.99999969 0.99999775
1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 0.99999999 0.99999991 0.99999924
1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 0.99999997 0.99999975
1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 0.99999999 0.99999992
1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 0.99999998
1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 0.99999999
1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000


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