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Homework Help: Joint PDF -> Marginal Pdf's

  1. Apr 13, 2009 #1
    Joint PDF --> Marginal Pdf's

    1. The problem statement, all variables and given/known data

    Suppose that the random vector (X, Y ) has the probability density function
    fX,Y (x, y) = k(x − y), if 0 < y < x < 1
    0, otherwise.
    1. Find the value of k, so that fX,Y (x, y) is a genuine pdf.
    2. Find the marginal density function of Y , fY (y) and of X, fX(x).

    2. Relevant equations

    3. The attempt at a solution
    1. k = -6 (using 0<y<x, 0<x<1)
    2. fY(y) ???
    fX(x) = 3x^2

    ...having trouble finding fY(y) that eventuates at a true pdf???
  2. jcsd
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