[MATH] Probability question

[Thanh <thanh@lombok.cs.uwm.edu>]

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-Thanh.

Consider two random variables X, Y described by joint probability
density
function (pdf)

              /        2
             | K(x + y),  x in [1,1], y in [0,1]
p   (x,y) = <
 X,Y         | 0            otherwise
              \


1. Find the conditional pdf p   (x|y)
                             X|Y

2. find the probability distribution function and pdf of random variable 
                 2     2
   Z where  Z = X  + Y