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Math Help - discrete function help

  1. #1
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    discrete function help

    f(x)=(9/c)x^2 for x= 1,2,3,...,6<br />
    For an appropriate value of c, we can define P(X=x)=f(x)

    Find c so the functions is a pmf

    So the outcome space has 6 values and its bounded? I don't know I'm completely lost
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  2. #2
    MHF Contributor harish21's Avatar
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    Quote Originally Posted by Brokensound723 View Post
    f(x)=(9/c)x^2 for x= 1,2,3,...,6<br />
    For an appropriate value of c, we can define P(X=x)=f(x)

    Find c so the functions is a pmf

    So the outcome space has 6 values and its bounded? I don't know I'm completely lost
    since the distribution is discrete, the pmf sums up to 1

    \displaystyle \sum_{x=1}^{6} \dfrac{9}{c}x^2\;=\;1

    \dfrac{1}{c}\displaystyle \bigg[\sum_{x=1}^{6} 9x^2\bigg]\;=\;1

    now find c
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  3. #3
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    oh wow I'm a moron, Thanks for that I got it now haha
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