For this Laplace distribution, |Xi−2|/3 is standard exponential. Twice a standard exponential is χ²2. Thus W is the sum of20 independent χ²2 variables and has χ²40 distribution, D.
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GATE 2025 ST Q49– Independent standard normal X₁,X₂,X₃ define Y₁=X₁−X₂,Y₂=X₁+X₂−2X₃,Y₃=X₁+X₂+X₃. Which hold?
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