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Joint density function

  1. Nov 23, 2009 #1
    1. The problem statement, all variables and given/known data
    Let X and Y be independent uniform (0,1) random variables.

    a. find th ejoint density of U=X, V=X+Y.

    b. compute the density funciton of V.

    2. Relevant equations

    3. The attempt at a solution

    Part a. is not a problem. I don't understand how the bounds for part b. are set up. The book says: for 0<V<1, fv(v)=[tex]\int_{o}^{v}[/tex]du
    and for 1[tex]\leq[/tex]v[tex]\leq[/tex] 2: [tex]\int_{v-1}^{1}[/tex]du

    Could someone explain this to me?
  2. jcsd
  3. Nov 24, 2009 #2
    Could somebody explain this in English?
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