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Binomial Table

For n = 10 to n = 11

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The binomial distribution gives the probability of r successes in an experiment with a total of n independent trials, each having probability of success p. The tables below are for n = 10 and 11.

Each entry in the table is calculated by the formula C(n, r)pr(1 - p)n - r where C(n, r) is the formula for combinations.

Other binomial distribution tables: n = 2 to 6, n = 7 to 9,

Tables for n = 10 to n = 11

n = 10
p.01.05.10.15.20.25.30.35.40.45.50.55.60.65.70.75.80.85.90.95
r0.904.599.349.197.107.056.028.014.006.003.001.000.000.000.000.000.000.000.000.000
1.091.315.387.347.268.188.121.072.040.021.010.004.002.000.000.000.000.000.000.000
2.004.075.194.276.302.282.233.176.121.076.044.023.011.004.001.000.000.000.000.000
3.000.010.057.130.201.250.267.252.215.166.117.075.042.021.009.003.001.000.000.000
4.000.001.011.040.088.146.200.238.251.238.205.160.111.069.037.016.006.001.000.000
5.000.000.001.008.026.058.103.154.201.234.246.234.201.154.103.058.026.008.001.000
6.000.000.000.001.006.016.037.069.111.160.205.238.251.238.200.146.088.040.011.001
7.000.000.000.000.001.003.009.021.042.075.117.166.215.252.267.250.201.130.057.010
8.000.000.000.000.000.000.001.004.011.023.044.076.121.176.233.282.302.276.194.075
9.000.000.000.000.000.000.000.000.002.004.010.021.040.072.121.188.268.347.387.315
10.000.000.000.000.000.000.000.000.000.000.001.003.006.014.028.056.107.197.349.599


n = 11
p.01.05.10.15.20.25.30.35.40.45.50.55.60.65.70.75.80.85.90.95
r0.895.569.314.167.086.042.020.009.004.001.000.000.000.000.000.000.000.000.000.000
1.099.329.384.325.236.155.093.052.027.013.005.002.001.000.000.000.000.000.000.000
2.005.087.213.287.295.258.200.140.089.051.027.013.005.002.001.000.000.000.000.000
3.000.014.071.152.221.258.257.225.177.126.081.046.023.010.004.001.000.000.000.000
4.000.001.016.054.111.172.220.243.236.206.161.113.070.038.017.006.002.000.000.000
5.000.000.002.013.039.080.132.183.221.236.226.193.147.099.057.027.010.002.000.000
6.000.000.000.002.010.027.057.099.147.193.226.236.221.183.132.080.039.013.002.000
7.000.000.000.000.002.006.017.038.070.113.161.206.236.243.220.172.111.054.016.001
8.000.000.000.000.000.001.004.010.023.046.081.126.177.225.257.258.221.152.071.014
9.000.000.000.000.000.000.001.002.005.013.027.051.089.140.200.258.295.287.213.087
10.000.000.000.000.000.000.000.000.001.002.005.013.027.052.093.155.236.325.384.329
11.000.000.000.000.000.000.000.000.000.000.000.001.004.009.020.042.086.167.314.569
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