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    Random Variables

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    Suppose X and Y are independent chi-square random variables with m and n degrees of freedom respectively. Let

    U = (X/m) / (Y/n)

    a) Find the density of U (The distribution of U is called the F-Distribution with m and n degrees of freedom).
    b) Find the density of V = U / (1+U)

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    https://brainmass.com/statistics/probability/random-variable-functions-11950

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    Please see the attachment.

    Suppose X and Y are independent chi-square random variables with m and n degrees of freedom respectively. Let

    U = (X/m) / (Y/n)

    a) Find the density of U (The distribution of U is called the F-Distribution with m and n degrees of freedom).
    Solution. Since X and Y are independent ...

    Solution Summary

    Suppose X and Y are independent chi-square random variables with m and n degrees of freedom respectively. Let

    U = (X/m) / (Y/n)

    a) Find the density of U (The distribution of U is called the F-Distribution with m and n degrees of freedom).
    b) Find the density of V = U / (1+U)

    $2.49

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