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Math Help - 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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    \sum\limits_x {p(x)}  = 1.
    The total mass is 1. Just use the finite set you are given.
    <br />
\frac{2}<br />
{C} + \frac{4}<br />
{C} + \frac{6}<br />
{C} + \frac{8}<br />
{C} + \frac{{12}}<br />
{C} = 1<br />
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  3. #3
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    Oh, that makes sense. Thank you.
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