2204-2205 / 2239
Rotational symmetrical 3D Gauss – cumulative function
(
)
( )
[ ]
2
2
2
2
2
2
2
3
3
0
2
e
2
Pr
,
4 d ...
Erf
e
2
2
R
r
R
R
r R
r r
R
Σ
Σ
Σ
Σ
π
Σ
π
π Σ
−
−
≤ =
⋅
= =
−
⋅
⋅
∫
Probability that we find something within a sphere of radius
R
:
Note:
0.90
(
)
Pr
,
0.90
2.5001
r R
R
Σ
Σ
≤ =
=
⋅
⇒
2.5
The probability that a sphere of radius R is completely
contained within R+2.5
.
Σ
is 90%!