k. Let X₁, X₂, X₂, Xy ~ N(0₁8) 2 Xs ~ N (114) we is X4 independent from X₁, X₁, X3 & X4, Find the distribution of each of the following 4 (X=-1) ² X₁²+ X₂² O X4-X3 8 2 2 2 @ X ₁² + x ² + x ² + x ₂² 8 √a (X4-X3) 2 √√X²³² +²₂² +X ²² +₂² Ⓒ 4) (3 2X₁² + 2X₂² X₁²+ X² +X+X²

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A: Dear student, If you find this solution helpful please upvote ? it. The solution is given below:

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