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Math Help - Is the distribution Gaussian

  1. #1
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    Is the distribution Gaussian

    Let X1, X2, ...., Xn be n random variable each having Gaussian Distribution with mean u and standard deviation s.
    Can I say that the distribution of {(X1+X2)/(X1+X2+...+Xn)} is Gaussian? If yes what is the value of its mean and standard deviation?
    Last edited by pan137; November 4th 2009 at 09:05 PM. Reason: Correction of typo errors
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    MHF Contributor matheagle's Avatar
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    Let W=X1+X2 and Z=X3+...+Xn

    so, the question is the same as W/(W+Z)being normal,which I doubt.

    W\sim N(2\mu, 2\sigma^2) and Z\sim N((n-2)\mu, (n-2)\sigma^2)
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  3. #3
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    Quote Originally Posted by matheagle View Post
    Let W=X1+X2 and Z=X3+...+Xn

    so, the question is the same as W/(W+Z)being normal,which I doubt.

    W\sim N(2\mu, 2\sigma^2) and Z\sim N((n-2)\mu, (n-2)\sigma^2)
    Just to add to this fine reply - Read these:

    Ratio distribution - Wikipedia, the free encyclopedia

    http://math.tntech.edu/ISR/Introduct...newnode16.html
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