Poisson and Normal Approximations to Binomial Distribution

 

When n is large, np > 5

n = 100, 0 < x < 20

 
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