Example 5.  Consider the function  [Graphics:Images/TaylorPolyMod_gr_348.gif].  
5 (d).  The relationship to the standard normal distribution.
Solution 5 (d).

    The Standard Normal Distribution  [Graphics:../Images/TaylorPolyMod_gr_421.gif] is merely a multiple of [Graphics:../Images/TaylorPolyMod_gr_422.gif].  

[Graphics:../Images/TaylorPolyMod_gr_423.gif]

[Graphics:../Images/TaylorPolyMod_gr_424.gif]

[Graphics:../Images/TaylorPolyMod_gr_425.gif]
[Graphics:../Images/TaylorPolyMod_gr_426.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004