![Plot[f[x, μ, σ], {x, μ - 3σ, μ + 3σ}] ;](../HTMLFiles/index_235.gif){kind=small}
Validity Checks
Property 1: Ensure f(x) ≥ 0 for all x by plotting it.
In[6]:=
![[Graphics:../HTMLFiles/index_236.gif]](../HTMLFiles/index_236.gif)
Property 2: Ensure f(x) integrates to exactly 1 over the random variable's support.
In[7]:=
![∫_lowsupport^highsupport f[x, μ, σ] x](../HTMLFiles/index_237.gif)
Out[7]=
Property 3:P(X =c)=0,or the probability assigned to any particular valuecis zero.
| Created by Mathematica (July 20, 2006) |  |