Prove that x has chi-square distribution with four degrees


If X1 and X2 are independent random variables, X1 has a chi-square distribution with 3 degrees of freedom, and X1 + X2 has a chi-square distribution with 7 degrees of freedom. Prove that X2 has a chi-square distribution with 4 degrees of freedom.

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Basic Statistics: Prove that x has chi-square distribution with four degrees
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