Poisson and Normal Approximations to Binomial Distribution

 

When n is large, np < 5

n = 100, 0 < x < 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