Please answer the following question in detail.

Prove that the sum of a collection of independent chi-squared random
variables also has a chi-squared distribution. Let X1, X2, X3, ... Xn
be independent chi-squared random variables wity y1, y2, y3, ... yn
degrees of freedom, respectively. Let

Y = X1 + X2 ... + Xn

Show that Y is a chi-quared random variable with y degrees of freedom
where y = SUM from i=1 to n of y sub i.

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Clarification of Question by jgortner-ga on 23 Mar 2004 20:11 PST

In my seeking to further understand and grasp statistics, I have
posted quite a few questions, as well as many other questions, here on
google answers. It seem that, particularly for my statistics
questions, I might be not pricing the questions quite right after
looking at some other peoples problems. I am verry happy to have this
service available to me; could you include in your answer what you
think a question, such as this one should be priced to have a quite
and well thought out answer? Am I on target? A little hight/low?
Thanks so much!

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Clarification of Question by jgortner-ga on 24 Mar 2004 08:04 PST

I already needed this answer. Please do not answer it. I just tryied
to cancel it and it wont let me.

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Clarification of Question by jgortner-ga on 24 Mar 2004 08:05 PST

I'd sincerely appriciate it. I'll have many other question in stat in
the future that you'll have an opportunity to answer. Thank you so
much.