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Math Help - probability generating function

  1. #1
    Senior Member
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    Sep 2009
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    300

    probability generating function

    Let Y=x+4. Compute rY(t) in terms of rX

    is the answer just

    r 3X+4 (t)

    ?
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  2. #2
    Newbie
    Joined
    Sep 2010
    Posts
    4
    you mean y = 3x+4

    then ry(t) = E(t^y)

    so E(t^y) = E(t^3x+4)

    =E(t^3x * t^4)

    =t^4 + E(t^3x)

    =t^4 + rx(t^3)
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