![Plot[f[x], {x, 0, 40}, PlotRange→ {0, 0.1}] ;](../HTMLFiles/index_191.gif){kind=small}
Validity Checks
Property 1: Ensure f(x) ≥ 0 for all x by plotting it.
In[56]:=
![[Graphics:../HTMLFiles/index_192.gif]](../HTMLFiles/index_192.gif)
Property 2: Ensure f(x) integrates to exactly 1 over the random variable's support.
In[26]:=
![∫_lowsupport^highsupport f[x] x](../HTMLFiles/index_193.gif)
Out[26]=
Property 3: P(X =c)=0,or the probability assigned to any particular value c is zero is true by inspection of the functions involved.
| Created by Mathematica (July 20, 2006) |  |