The table below gives the probability of that a Poisson random variable X with mean = λ is less than or equal to x.
x\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 |
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 |
x\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 |
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 |
x\λ
|
6.0 |
6.5 |
7.0 |
7.5 |
8.0 |
8.5 |
9.0 |
9.5 |
10.0 |
11.0 |
10.0 |
12.0 |
14.0 |
15.0 |
0 |
0.0025 |
0.0015 |
0.0009 |
0.0006 |
0.0003 |
0.0002 |
0.0001 |
0.0001 |
0.0000 |
0.0000 |
0.0000 |
0.0000 |
0.0000 |
0.0000 |
1 |
0.0174 |
0.0113 |
0.0073 |
0.0047 |
0.0030 |
0.0019 |
0.0012 |
0.0008 |
0.0005 |
0.0002 |
0.0005 |
0.0001 |
0.0000 |
0.0000 |
2 |
0.0620 |
0.0430 |
0.0296 |
0.0203 |
0.0138 |
0.0093 |
0.0062 |
0.0042 |
0.0028 |
0.0012 |
0.0028 |
0.0005 |
0.0001 |
0.0000 |
3 |
0.1512 |
0.1118 |
0.0818 |
0.0591 |
0.0424 |
0.0301 |
0.0212 |
0.0149 |
0.0103 |
0.0049 |
0.0103 |
0.0023 |
0.0005 |
0.0002 |
4 |
0.2851 |
0.2237 |
0.1730 |
0.1321 |
0.0996 |
0.0744 |
0.0550 |
0.0403 |
0.0293 |
0.0151 |
0.0293 |
0.0076 |
0.0018 |
0.0009 |
5 |
0.4457 |
0.3690 |
0.3007 |
0.2414 |
0.1912 |
0.1496 |
0.1157 |
0.0885 |
0.0671 |
0.0375 |
0.0671 |
0.0203 |
0.0055 |
0.0028 |
6 |
0.6063 |
0.5265 |
0.4497 |
0.3782 |
0.3134 |
0.2562 |
0.2068 |
0.1649 |
0.1301 |
0.0786 |
0.1301 |
0.0458 |
0.0142 |
0.0076 |
7 |
0.7440 |
0.6728 |
0.5987 |
0.5246 |
0.4530 |
0.3856 |
0.3239 |
0.2687 |
0.2202 |
0.1432 |
0.2202 |
0.0895 |
0.0316 |
0.0180 |
8 |
0.8472 |
0.7916 |
0.7291 |
0.6620 |
0.5925 |
0.5231 |
0.4557 |
0.3918 |
0.3328 |
0.2320 |
0.3328 |
0.1550 |
0.0621 |
0.0374 |
9 |
0.9161 |
0.8774 |
0.8305 |
0.7764 |
0.7166 |
0.6530 |
0.5874 |
0.5218 |
0.4579 |
0.3405 |
0.4579 |
0.2424 |
0.1094 |
0.0699 |
10 |
0.9574 |
0.9332 |
0.9015 |
0.8622 |
0.8159 |
0.7634 |
0.7060 |
0.6453 |
0.5830 |
0.4599 |
0.5830 |
0.3472 |
0.1757 |
0.1185 |
11 |
0.9799 |
0.9661 |
0.9467 |
0.9208 |
0.8881 |
0.8487 |
0.8030 |
0.7520 |
0.6968 |
0.5793 |
0.6968 |
0.4616 |
0.2600 |
0.1848 |
12 |
0.9912 |
0.9840 |
0.9730 |
0.9573 |
0.9362 |
0.9091 |
0.8758 |
0.8364 |
0.7916 |
0.6887 |
0.7916 |
0.5760 |
0.3585 |
0.2676 |
13 |
0.9964 |
0.9929 |
0.9872 |
0.9784 |
0.9658 |
0.9486 |
0.9261 |
0.8981 |
0.8645 |
0.7813 |
0.8645 |
0.6815 |
0.4644 |
0.3632 |
14 |
0.9986 |
0.9970 |
0.9943 |
0.9897 |
0.9827 |
0.9726 |
0.9585 |
0.9400 |
0.9165 |
0.8540 |
0.9165 |
0.7720 |
0.5704 |
0.4657 |
15 |
0.9995 |
0.9988 |
0.9976 |
0.9954 |
0.9918 |
0.9862 |
0.9780 |
0.9665 |
0.9513 |
0.9074 |
0.9513 |
0.8444 |
0.6694 |
0.5681 |
16 |
0.9998 |
0.9996 |
0.9990 |
0.9980 |
0.9963 |
0.9934 |
0.9889 |
0.9823 |
0.9730 |
0.9441 |
0.9730 |
0.8987 |
0.7559 |
0.6641 |
17 |
0.9999 |
0.9998 |
0.9996 |
0.9992 |
0.9984 |
0.9970 |
0.9947 |
0.9911 |
0.9857 |
0.9678 |
0.9857 |
0.9370 |
0.8272 |
0.7489 |
18 |
1.0000 |
0.9999 |
0.9999 |
0.9997 |
0.9993 |
0.9987 |
0.9976 |
0.9957 |
0.9928 |
0.9823 |
0.9928 |
0.9626 |
0.8826 |
0.8195 |
19 |
1.0000 |
1.0000 |
1.0000 |
0.9999 |
0.9997 |
0.9995 |
0.9989 |
0.9980 |
0.9965 |
0.9907 |
0.9965 |
0.9787 |
0.9235 |
0.8752 |
20 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
0.9999 |
0.9998 |
0.9996 |
0.9991 |
0.9984 |
0.9953 |
0.9984 |
0.9884 |
0.9521 |
0.9170 |
21 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
0.9999 |
0.9998 |
0.9996 |
0.9993 |
0.9977 |
0.9993 |
0.9939 |
0.9712 |
0.9469 |
22 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
0.9999 |
0.9999 |
0.9997 |
0.9990 |
0.9997 |
0.9970 |
0.9833 |
0.9673 |
23 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
0.9999 |
0.9999 |
0.9995 |
0.9999 |
0.9985 |
0.9907 |
0.9805 |
24
|
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
0.9998 |
1.0000 |
0.9993 |
0.9950 |
0.9888 |
25
|
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
0.9999 |
1.0000 |
0.9997 |
0.9974 |
0.9938 |
26
|
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
0.9999 |
0.9987 |
0.9967 |
27 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
0.9999 |
0.9994 |
0.9983 |
28
|
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
0.9997 |
0.9991 |
29
|
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 |
0.9996 |
30
|
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 |
31
|
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 |
32
|
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 |