(i) (3 points) Find the joint distribution of Y₁ = X₁ Xn and Y2X₂-Xn. You can either give the probability density function or identify itas a commonly known family of distributions. (iii) (0.5 point) Consider the case of n = 3. Find whether T3 has a chi-square distribution subject to a multiplicative constant (that is, distributed as bW where b is a constant and W has a chi-square distribution). Justify your answer.

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