Find the joint probability density

Reference no: EM131834414

Let X₁ and X₂ be independent random variables, each exponentially distributed with parameter λ = ½. Find the joint probability density function of Y₁ and Y₂, in which (i) Y₁ = X₁ + X₂, Y₂ = X₁ - X₂. (ii) Y₁ = maximum (X₁, X₂), Y₂ = minimum (X₁, X₂).

Reference no: EM131834414

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