1. 

   Cam Bridger Keen member

   I'm not understanding where E[U|V] = 1/2 * V and var(U|V) = 1/12 * V^2
   
   They're plucked out of thin air like the mean/ variance of V (that's given in the question) and I haven't got a clue, please help!
   
   Do we have a random variable U and also a discrete Uniform distribution? It's all a little confusing.
   
   Thanks

    

   Cam Bridger, Jan 14, 2023

   #1
2. 

   John Lee ActEd Tutor Staff Member

   We're told that U|V ~ U(0,V). So they've just quoted the mean and variance of this distribution. Likewise for V.
   Either turn back to Chapter 2 and use the results given in the summary there or use the Tables which can be downloaded from here:
   https://www.actuaries.org.uk/documents/formulae-and-tables-and-examinations-2002

    

   John Lee, Jan 16, 2023

   #2

   Andrea Goude likes this.
3. 

   Cam Bridger Keen member

   Thanks John

    

   Cam Bridger, Jan 17, 2023

   #3

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