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# Cumulative Poisson Distribution Table

A cumulative poisson distribution is used to calculate the probability of getting atleast n successes in a poisson experiment. The below given table shows cumulative probability functions of Poisson Distribution with various α values. Each columns corresponds to various values for the mean (λ) of a Poisson variable. The table below gives the probability of a Poisson random variable X with mean = λ which is less than or equal to x. For example, a Poisson variable of mean 0.7 is 1 or less with probability 0.844.

x0.10.20.30.40.50.60.70.80.91.0
00.9050.8190.7410.6700.6070.5490.4970.4490.4070.368
10.9950.9820.9630.9380.9100.8780.8440.8090.7720.736
21.0000.9990.9960.9920.9860.9770.9660.9530.9370.920
31.0001.0001.0000.9990.9980.9970.9940.9910.9870.981
41.0001.0001.0001.0001.0001.0000.9990.9990.9980.996
51.0001.0001.0001.0001.0001.0001.0001.0001.0000.999
61.0001.0001.0001.0001.0001.0001.0001.0001.0001.000
x1.11.21.31.41.51.61.71.81.92.0
00.3330.3010.2730.2470.2230.2020.1830.1650.1500.135
10.6990.6630.6270.5920.5580.5250.4930.4630.4340.406
20.9000.8790.8570.8330.8090.7830.7570.7310.7040.677
30.9740.9660.9570.9460.9340.9210.9070.8910.8750.857
40.9950.9920.9890.9860.9810.9760.9700.9640.9560.947
50.9990.9980.9980.9970.9960.9940.9920.9900.9870.983
61.0001.0001.0000.9990.9990.9990.9980.9970.9970.995
71.0001.0001.0001.0001.0001.0001.0000.9990.9990.999
81.0001.0001.0001.0001.0001.0001.0001.0001.0001.000
x2.22.42.62.83.03.23.43.63.84.0
00.1110.0910.0740.0610.0500.0410.0330.0270.0220.018
10.3550.3080.2670.2310.1990.1710.1470.1260.1070.092
20.6230.5700.5180.4690.4230.3800.3400.3030.2690.238
30.8190.7790.7360.6920.6470.6030.5580.5150.4730.433
40.9280.9040.8770.8480.8150.7810.7440.7060.6680.629
50.9750.9640.9510.9350.9160.8950.8710.8440.8160.785
60.9930.9880.9830.9760.9660.9550.9420.9270.9090.889
70.9980.9970.9950.9920.9880.9830.9770.9690.9600.949
81.0000.9990.9990.9980.9960.9940.9920.9880.9840.979
91.0001.0001.0000.9990.9990.9980.9970.9960.9940.992
101.0001.0001.0001.0001.0001.0000.9990.9990.9980.997
111.0001.0001.0001.0001.0001.0001.0001.0000.9990.999
121.0001.0001.0001.0001.0001.0001.0001.0001.0001.000
x4.24.44.64.85.05.25.45.65.86.0
00.0150.0120.0100.0080.0070.0060.0050.0040.0030.002
10.0780.0660.0560.0480.0400.0340.0290.0240.0210.017
20.2100.1850.1630.1430.1250.1090.0950.0820.0720.062
30.3950.3590.3260.2940.2650.2380.2130.1910.1700.151
40.5900.5510.5130.4760.4400.4060.3730.3420.3130.285
50.7530.7200.6860.6510.6160.5810.5460.5120.4780.446
60.8670.8440.8180.7910.7620.7320.7020.6700.6380.606
70.9360.9210.9050.8870.8670.8450.8220.7970.7710.744
80.9720.9640.9550.9440.9320.9180.9030.8860.8670.847
90.9890.9850.9800.9750.9680.9600.9510.9410.9290.916
100.9960.9940.9920.9900.9860.9820.9770.9720.9650.957
110.9990.9980.9970.9960.9950.9930.9900.9880.9840.980
121.0000.9990.9990.9990.9980.9970.9960.9950.9930.991
131.0001.0001.0001.0000.9990.9990.9990.9980.9970.996
141.0001.0001.0001.0001.0001.0001.0000.9990.9990.999
151.0001.0001.0001.0001.0001.0001.0001.0001.0000.999
161.0001.0001.0001.0001.0001.0001.0001.0001.0001.000
x6.57.07.58.08.59.09.510.010.511.0
00.0020.0010.0010.0000.0000.0000.0000.0000.0000.000
10.0110.0070.0050.0030.0020.0010.0010.0000.0000.000
20.0430.0300.0200.0140.0090.0060.0040.0030.0020.001
30.1120.0820.0590.0420.0300.0210.0150.0100.0070.005
40.2240.1730.1320.1000.0740.0550.0400.0290.0210.015
50.3690.3010.2410.1910.1500.1160.0890.0670.0500.038
60.5270.4500.3780.3130.2560.2070.1650.1300.1020.079
70.6730.5990.5250.4530.3860.3240.2690.2200.1790.143
80.7920.7290.6620.5930.5230.4560.3920.3330.2790.232
90.8770.8300.7760.7170.6530.5870.5220.4580.3970.341
100.9330.9010.8620.8160.7630.7060.6450.5830.5210.460
110.9660.9470.9210.8880.8490.8030.7520.6970.6390.579
120.9840.9730.9570.9360.9090.8760.8360.7920.7420.689
130.9930.9870.9780.9660.9490.9260.8980.8640.8250.781
140.9970.9940.9900.9830.9730.9590.9400.9170.8880.854
150.9990.9980.9950.9920.9860.9780.9670.9510.9320.907
161.0000.9990.9980.9960.9930.9890.9820.9730.9600.944
171.0001.0000.9990.9980.9970.9950.9910.9860.9780.968
181.0001.0001.0000.9990.9990.9980.9960.9930.9880.982
191.0001.0001.0001.0000.9990.9990.9980.9970.9940.991
201.0001.0001.0001.0001.0001.0000.9990.9980.9970.995
211.0001.0001.0001.0001.0001.0001.0000.9990.9990.998
221.0001.0001.0001.0001.0001.0001.0001.0000.9990.999
231.0001.0001.0001.0001.0001.0001.0001.0001.0001.000