Poisson
and Normal Approximations to Binomial Distribution
| When
n is small, np < 5
|
|
|
|
| p |
np |
Binomial |
Normal |
Poisson |
| 0.01 |
0.1 |
0.99988 |
0.9717 |
0.99984 |
| 0.02 |
0.2 |
0.99913 |
0.943 |
0.99885 |
| 0.03 |
0.3 |
0.99723 |
0.931 |
0.9964 |
| 0.04 |
0.4 |
0.99378 |
0.92743 |
0.99207 |
| 0.05 |
0.5 |
0.98849 |
0.92463 |
0.98561 |
|
|
|