Question: 6.33 Let the chi square variables 2 1 , with 1 degrees of freedom, and 2 2 , with 2 degrees of freedom, be independent.

6.33 Let the chi square variables χ2 1 , with ν1 degrees of freedom, and χ2 2 , with ν2 degrees of freedom, be independent. Establish the result on page 211, that their sum is a chi square variable with ν1 + ν2 degrees of freedom.

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