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Thread: Another mgf question

  1. #1
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    Another mgf question

    How do you figure an mgf if the numbers of x are not consecutive, or don't start with zero? All the examples in my textbook and my lectures (and what I can find online) have x start at 0 and go to infinity. I can't figure out how to apply the formula to these homework problems:

    p(x) = x/C for x=2, 4, 6, 8, 12,

    p(x) = [(x-4)^2]*C for x=-3, -2, -1, 0, 1
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  2. #2
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    $\displaystyle \sum\limits_x {p(x)} = 1$.
    The total mass is 1. Just use the finite set you are given.
    $\displaystyle
    \frac{2}
    {C} + \frac{4}
    {C} + \frac{6}
    {C} + \frac{8}
    {C} + \frac{{12}}
    {C} = 1
    $
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  3. #3
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    Oh, that makes sense. Thank you.
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