Prove that if two independent identically distributed, Basic Statistics

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Prove that if two independent identically distributed

Prove that if two independent identically distributed random variables, X₁ and X₂, each taking the values I to 6, have the property that their sum will satisfy P[X₁ + X₂ = k] = P[X₁ + X₂ = 14 - k] = (k - 1)/36 for k = 2, 3, 4, 5, 6, and P[X₁ + X₂ = 7] = 6/36 then P[X₁ = k] = P[X₂ = k] = i for k = 1,2, ... ,6.

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Basic Statistics: Prove that if two independent identically distributed

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Basic Statistics: Prove that if two independent identically distributed

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