Poisson
and Normal Approximations to Binomial Distribution
| When
n is large, np > 5
|
|
|
|
| p |
np |
Binomial |
Normal |
Poisson |
| 0.11 |
11 |
0.99735 |
0.99905 |
0.99532 |
| 0.12 |
12 |
0.99273 |
0.996 |
0.9884 |
| 0.13 |
13 |
0.98283 |
0.9871 |
0.97498 |
| 0.14 |
14 |
0.96435 |
0.9695 |
0.95209 |
| 0.15 |
15 |
0.93368 |
0.9382 |
0.91702 |
|
|
|