The Normal Probability Density Function
Now we have the normal probability distribution derived from our 3 basic
assumptions:
p x e
x
b g=
-
F
H
G
I
K 1 J
2
1
2
2
s p
s
.
The general equation for the normal distribution with mean m and standard deviation s is
created by a simple horizontal shift of this basic distribution,
p x e
x
b g=
-
F -
H
G
I
K 1 J
2
1
2
2
s p
m
s