![Plot[f[x, ν], {x, -10, 10}, PlotRange→ {0, .5}] ;](../HTMLFiles/index_334.gif){kind=small}
Validity Checks
Property 1: Ensure f(x) ≥ 0 for all x by plotting it.
In[65]:=
![[Graphics:../HTMLFiles/index_335.gif]](../HTMLFiles/index_335.gif)
Property 2: Ensure f(x) integrates to exactly 1 over the random variable's support.
In[72]:=
![∫_lowsupport^highsupport f[x, ν] x](../HTMLFiles/index_336.gif)
Out[72]=
Property 3: P(X = c) = 0, or the probability assigned to any particular value c is zero.
| Created by Mathematica (July 20, 2006) |  |