Summary Free Poisson Cumulative Distribution table

Tables of the Poisson Cumulative Distribution

The table below gives the probability of that a Poisson random variable X with mean = λ is less than or equal to x. That is, the table gives

e −λ x
P ( X ≤ x) = ∑ λ r

r =0 r!
λ= 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.2 1.4 1.6 1.8
x= 0 0.9048 0.8187 0.7408 0.6703 0.6065 0.5488 0.4966 0.4493 0.4066 0.3679 0.3012 0.2466 0.2019 0.1653
1 0.9953 0.9825 0.9631 0.9384 0.9098 0.8781 0.8442 0.8088 0.7725 0.7358 0.6626 0.5918 0.5249 0.4628
2 0.9998 0.9989 0.9964 0.9921 0.9856 0.9769 0.9659 0.9526 0.9371 0.9197 0.8795 0.8335 0.7834 0.7306
3 1.0000 0.9999 0.9997 0.9992 0.9982 0.9966 0.9942 0.9909 0.9865 0.9810 0.9662 0.9463 0.9212 0.8913
4 1.0000 1.0000 1.0000 0.9999 0.9998 0.9996 0.9992 0.9986 0.9977 0.9963 0.9923 0.9857 0.9763 0.9636
5 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.9999 0.9998 0.9997 0.9994 0.9985 0.9968 0.9940 0.9896
6 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.9999 0.9997 0.9994 0.9987 0.9974
7 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.9999 0.9997 0.9994
8 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.9999
9 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000
λ= 2.0 2.2 2.4 2.6 2.8 3.0 3.2 3.4 3.6 3.8 4.0 4.5 5.0 5.5
x= 0 0.1353 0.1108 0.0907 0.0743 0.0608 0.0498 0.0408 0.0334 0.0273 0.0224 0.0183 0.0111 0.0067 0.0041
1 0.4060 0.3546 0.3084 0.2674 0.2311 0.1991 0.1712 0.1468 0.1257 0.1074 0.0916 0.0611 0.0404 0.0266
2 0.6767 0.6227 0.5697 0.5184 0.4695 0.4232 0.3799 0.3397 0.3027 0.2689 0.2381 0.1736 0.1247 0.0884
3 0.8571 0.8194 0.7787 0.7360 0.6919 0.6472 0.6025 0.5584 0.5152 0.4735 0.4335 0.3423 0.2650 0.2017
4 0.9473 0.9275 0.9041 0.8774 0.8477 0.8153 0.7806 0.7442 0.7064 0.6678 0.6288 0.5321 0.4405 0.3575
5 0.9834 0.9751 0.9643 0.9510 0.9349 0.9161 0.8946 0.8705 0.8441 0.8156 0.7851 0.7029 0.6160 0.5289
6 0.9955 0.9925 0.9884 0.9828 0.9756 0.9665 0.9554 0.9421 0.9267 0.9091 0.8893 0.8311 0.7622 0.6860
7 0.9989 0.9980 0.9967 0.9947 0.9919 0.9881 0.9832 0.9769 0.9692 0.9599 0.9489 0.9134 0.8666 0.8095
8 0.9998 0.9995 0.9991 0.9985 0.9976 0.9962 0.9943 0.9917 0.9883 0.9840 0.9786 0.9597 0.9319 0.8944
9 1.0000 0.9999 0.9998 0.9996 0.9993 0.9989 0.9982 0.9973 0.9960 0.9942 0.9919 0.9829 0.9682 0.9462
10 1.0000 1.0000 1.0000 0.9999 0.9998 0.9997 0.9995 0.9992 0.9987 0.9981 0.9972 0.9933 0.9863 0.9747
11 1.0000 1.0000 1.0000 1.0000 1.0000 0.9999 0.9999 0.9998 0.9996 0.9994 0.9991 0.9976 0.9945 0.9890
12 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.9999 0.9999 0.9998 0.9997 0.9992 0.9980 0.9955
13 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.9999 0.9997 0.9993 0.9983
14 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.9999 0.9998 0.9994
15 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.9999 0.9998
16 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.9999
17 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000