Poisson and Normal Approximations to Binomial Distribution

 

When n is small, np < 5

n = 10, 0 < x < 2

 
p
np
Binomial
Normal
Poisson
0.01
0.1
0.99988
0.9717
0.99984
0.02
0.2
0.99913
0.943
0.99885
0.03
0.3
0.99723
0.931
0.9964
0.04
0.4
0.99378
0.92743
0.99207
0.05
0.5
0.98849
0.92463
0.98561