# Question: Prove Theorem 8 9 Theorem 8 9 If X1 X2

Prove Theorem 8.9.

Theorem 8.9

If X1, X2, . . . , Xn are independent random variables having chi- square distributions with v1, v2, . . . , vn degrees of freedom, then

Has the chi-square distribution with v1 + v2 + · · · + vn degrees of freedom.

Theorem 8.9

If X1, X2, . . . , Xn are independent random variables having chi- square distributions with v1, v2, . . . , vn degrees of freedom, then

Has the chi-square distribution with v1 + v2 + · · · + vn degrees of freedom.

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