![Plot[f[x], {x, 6, 16}, PlotRange→Automatic] ;](../HTMLFiles/index_143.gif){kind=small}
Validity Checks
Property 1: Ensure f(x) ≥ 0 for all x by plotting it.
In[79]:=
![[Graphics:../HTMLFiles/index_144.gif]](../HTMLFiles/index_144.gif)
Property 2: Ensure f(x) integrates to exactly 1 over the random variable's support.
In[80]:=
![∫_lowsupport^highsupport f[x] x](../HTMLFiles/index_145.gif)
Out[80]=
Property 3: P(X = c) = 0, or the probability assigned to any particular value c is zero.
| Created by Mathematica (July 20, 2006) |  |