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Math Help - Distribution

  1. #1
    Senior Member slevvio's Avatar
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    Distribution

    Let X be a (discrete or continuous) random variable with range  R_X \subset [ -a,a] . Find a distribution so that  Var(X) = a^2 .

    I tried looking through the distributions and the only ones we have learned about are the uniform and the binomial that have finite ranges, when I tried working these out I failed. The closest I got was a variance of  3a^2 with the Uniform distribution X ~ U(-a,a). Thanks and any help would be appreciated.
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    Quote Originally Posted by slevvio View Post
    Let X be a (discrete or continuous) random variable with range  R_X \subset [ -a,a] . Find a distribution so that  Var(X) = a^2 .

    I tried looking through the distributions and the only ones we have learned about are the uniform and the binomial that have finite ranges, when I tried working these out I failed. The closest I got was a variance of  3a^2 with the Uniform distribution X ~ U(-a,a). Thanks and any help would be appreciated.
    How about P(X=-a) = P(X=a) = 1/2 ?
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  3. #3
    Senior Member slevvio's Avatar
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    Thank you for the help I guess this question was easier than I thought hehe
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