Line 6: Line 6:
 
               After some rearranging
 
               After some rearranging
  
E[X]-E[N] +(E[X^2]-E[XN]+E[X]^2+E[X]E[N])/(E[X^2]+E[X]^2] *(X-E[X])
+
E[X]-E[N] +(E[X^2]-E[XN]+E[X]^2+E[X]E[N])/(E[X^2]+E[X]^2]) * (X-E[X])
  
E[X]-E[N] + (E[X^2]-E[X]^2)/(E[X^2]-E[X]^2) *(X-E[X])
+
E[X]-E[N] + (E[X^2]-E[X]^2)/(E[X^2]-E[X]^2) * (X-E[X])
  
 
E[X]-E[N] + (X-E[X])
 
E[X]-E[N] + (X-E[X])

Revision as of 15:41, 8 December 2008

The way I went about this problem is I set Y=X-N and substituted all over the place

So if expanding on the last entry I got

E[X]-E[N] + (E[X(X-N)]-E[X]E[X-N])/(Var(x)) * (X-E[X])

             After some rearranging

E[X]-E[N] +(E[X^2]-E[XN]+E[X]^2+E[X]E[N])/(E[X^2]+E[X]^2]) * (X-E[X])

E[X]-E[N] + (E[X^2]-E[X]^2)/(E[X^2]-E[X]^2) * (X-E[X])

E[X]-E[N] + (X-E[X])

Thats what i got so far you sould be able to plug in values assuming this is right..theres an example like in class btw

Do you use law of iterated expectation here?

Alumni Liaison

Ph.D. 2007, working on developing cool imaging technologies for digital cameras, camera phones, and video surveillance cameras.

Buyue Zhang