Question: S Let X; Y be i.i.d. random variables taking values in ZC. Suppose that either (a) P.X D kjXCY D n/ D 1=.nC1/ for all

S Let X; Y be i.i.d. random variables taking values in ZC. Suppose that either

(a) P.X D kjXCY D n/ D 1=.nC1/ for all 0  k  n, or

(b) P.X D kjXCY D n/ D

n k



2n for all 0  k  n, provided n is such that the condition has positive probability. Find the common distribution of X and Y .

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