Prove the claim that the amount by which X 2 exceeds (X 1 1) 2 2 in step 2 when X 1 is accepted, that is, X X 2 (X 1 1) 2 2, is exponential w mean 1 and is independent of X 1

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Question: Prove the claim that the amount by which X 2 exceeds (X 1 1) 2 /2 in step 2 when X 1 is accepted, that

Prove the claim that the amount by which X₂ exceeds (X₁ 1)²/2 in step 2 when X₁ is accepted, that is, X = X₂ (X₁ 1)²/2, is exponential w/ mean 1 and is independent of X₁

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