Poisson
and Normal Approximations to Binomial Distribution
| When
n is small, np > 5
|
|
|
|
| p |
np |
Binomial |
Normal |
Poisson |
| 0.51 |
5.1 |
0.5982 |
0.5998 |
0.59841 |
| 0.52 |
5.2 |
0.57295 |
0.57514 |
0.58091 |
| 0.53 |
5.3 |
0.54737 |
0.55027 |
0.56347 |
| 0.54 |
5.4 |
0.52155 |
0.525 |
0.54613 |
| 0.55 |
5.5 |
0.49559 |
0.49993 |
0.52891 |
|
|
|