Poisson and Normal Approximations to Binomial Distribution

 

When n is small, np > 5

n = 10, 0 < x < 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