Taules De Probabilitat Poisson Acum Izq

Tablas de probabilidad acumulada a la izquierda de Poisson
1,00

P( X ≤ k ) =

X~P(λ)

∑
k

r =0

λr
e−λ
r!

∑
k

λr
P(X≤k)=e−λ
r!

0,50

r =0

0,00
0 1 2 3 4 5 6 7 8 91011

k
λ
0,1
0,2
0,3
0,4
0,5
0,6
0,7
0,8
0,9
1
1,1
1,2
1,3
1,4
1,5
1,6
1,7
1,8
1,9
2
2,1
2,2
2,3
2,4
2,5
2,6
2,7
2,8
2,9
3

0

1

,9048
,8187
,7408
,6703
,6065
,5488
,4966
,4493
,4066
,3679
,3329
,3012
,2725
,2466
,2231
,2019,1827
,1653
,1496
,1353
,1225
,1108
,1003
,0907
,0821
,0743
,0672
,0608
,0550
,0498
,0450
,0408
,0334
,0273
,0224
,0183
,0150
,0123
,0101
,0082
,0067
,0055
,0045
,0037
,0030
,0025
,0020
,0017
,0014
,0011

P

3,1
3,2
3,4
3,6
3,8
4
4,2
4,4
4,6
4,8
5
5,2
5,4
5,6
5,8
6
6,2
6,4
6,6
6,8

(

2

,9953
,9825
,9631
,9384
,9098
,8781
,8442
,8088
,7725
,7358
,6990
,6626
,6268
,5918
,5578
,5249
,4932
,4628
,4337,4060
,3796
,3546
,3309
,3084
,2873
,2674
,2487
,2311
,2146
,1991
,1847
,1712
,1468
,1257
,1074
,0916
,0780
,0663
,0563
,0477
,0404
,0342
,0289
,0244
,0206
,0174
,0146
,0123
,0103
,0087
X

≤

3

4

,9998 1,
1,
,9989 ,9999 1,
,9964 ,9997 1,
,9921 ,9992 ,9999
,9856 ,9982 ,9998
,9769 ,9966 ,9996
,9659 ,9942 ,9992
,9526 ,9909 ,9986
,9371 ,9865 ,9977
,9197 ,9810 ,9963
,9004 ,9743 ,9946
,8795 ,9662,9923
,8571 ,9569 ,9893
,8335 ,9463 ,9857
,8088 ,9344 ,9814
,7834 ,9212 ,9763
,7572 ,9068 ,9704
,7306 ,8913 ,9636
,7037 ,8747 ,9559
,6767 ,8571 ,9473
,6496 ,8386 ,9379
,6227 ,8194 ,9275
,5960 ,7993 ,9162
,5697 ,7787 ,9041
,5438 ,7576 ,8912
,5184 ,7360 ,8774
,4936 ,7141 ,8629
,4695 ,6919 ,8477
,4460 ,6696 ,8318
,4232 ,6472 ,8153
,4012 ,6248 ,7982
,3799 ,6025 ,7806
,3397 ,5584 ,7442
,3027 ,5152 ,7064,2689 ,4735 ,6678
,2381 ,4335 ,6288
,2102 ,3954 ,5898
,1851 ,3594 ,5512
,1626 ,3257 ,5132
,1425 ,2942 ,4763
,1247 ,2650 ,4405
,1088 ,2381 ,4061
,0948 ,2133 ,3733
,0824 ,1906 ,3422
,0715 ,1700 ,3127
,0620 ,1512 ,2851
,0536 ,1342 ,2592
,0463 ,1189 ,2351
,0400 ,1052 ,2127
,0344 ,0928 ,1920

k

)

k

=

∑
r

=

0

λ
r

r

!

e

5

6

7

8

9

10

11

12

1,
1,
1,
1,
1,
1,
,9999
,9998
,9997
,9994
,9990,9985
,9978
,9968
,9955
,9940
,9920
,9896
,9868
,9834
,9796
,9751
,9700
,9643
,9580
,9510
,9433
,9349
,9258
,9161
,9057
,8946
,8705
,8441
,8156
,7851
,7531
,7199
,6858
,6510
,6160
,5809
,5461
,5119
,4783
,4457
,4141
,3837
,3547
,3270

1,
1,
1,
1,
1,
1,
1,
1,
1,
,9999
,9999
,9997
,9996
,9994
,9991
,9987
,9981
,9974
,9966
,9955
,9941
,9925
,9906
,9884
,9858
,9828
,9794
,9756
,9713
,9665
,9612
,9554,9421
,9267
,9091
,8893
,8675
,8436
,8180
,7908
,7622
,7324
,7017
,6703
,6384
,6063
,5742
,5423
,5108
,4799

1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
,9999
,9999
,9998
,9997
,9996
,9994
,9992
,9989
,9985
,9980
,9974
,9967
,9958
,9947
,9934
,9919
,9901
,9881
,9858
,9832
,9769
,9692
,9599
,9489
,9361
,9214
,9049
,8867
,8666
,8449
,8217
,7970
,7710
,7440
,7160
,6873
,6581
,6285

1,
1,
1,
1,
1,
1,
1,
1,
1,1,
1,
1,
1,
1,
1,
1,
,9999
,9999
,9998
,9998
,9997
,9995
,9994
,9991
,9989
,9985
,9981
,9976
,9969
,9962
,9953
,9943
,9917
,9883
,9840
,9786
,9721
,9642
,9549
,9442
,9319
,9181
,9027
,8857
,8672
,8472
,8259
,8033
,7796
,7548

1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
,9999
,9999
,9999
,9998
,9997
,9996
,9995
,9993
,9991
,9989
,9986
,9982
,9973
,9960
,9942
,9919
,9889
,9851
,9805,9749
,9682
,9603
,9512
,9409
,9292
,9161
,9016
,8858
,8686
,8502

1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
,9999
,9999
,9999
,9998
,9998
,9997
,9996
,9995
,9992
,9987
,9981
,9972
,9959
,9943
,9922
,9896
,9863
,9823
,9775
,9718
,9651
,9574
,9486
,9386
,9274
,9151

1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
,9999
,9999
,9999,9999
,9998
,9996
,9994
,9991
,9986
,9980
,9971
,9960
,9945
,9927
,9904
,9875
,9841
,9799
,9750
,9693
,9627
,9552

1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
,9999
,9999
,9998
,9997
,9996
,9993
,9990
,9986
,9980
,9972
,9962
,9949
,9932
,9912
,9887
,9857
,9821
,9779

−

λ

P( X ≤ k ) =

k0

∑ rλ! e
r=

r

−λ

k
λ

0

7

9,1E-4
7,5E-4
6,1E-4...