# Thread: Is the distribution Gaussian

1. ## 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?

2. Let W=X1+X2 and Z=X3+...+Xn

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

$\displaystyle W\sim N(2\mu, 2\sigma^2)$ and $\displaystyle Z\sim N((n-2)\mu, (n-2)\sigma^2)$

3. Originally Posted by matheagle
Let W=X1+X2 and Z=X3+...+Xn

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

$\displaystyle W\sim N(2\mu, 2\sigma^2)$ and $\displaystyle Z\sim N((n-2)\mu, (n-2)\sigma^2)$