Poisson
and Normal Approximations to Binomial Distribution
| When
n is large, np < 5
|
|
|
|
| p |
np |
Binomial |
Normal |
Poisson |
| 0.01 |
0.1 |
0.99946 |
0.934 |
0.9994 |
| 0.02 |
0.2 |
0.98451 |
0.9629 |
0.98343 |
| 0.03 |
0.3 |
0.91916 |
0.9084 |
0.91608 |
| 0.04 |
0.4 |
0.78837 |
0.7671 |
0.78513 |
| 0.05 |
0.5 |
0.61599 |
0.58523 |
0.61596 |
|
|
|