Question: Prove that if (X) has the geometric density, then the memoryless property (P(x>s+t quad mid x>s)=P(x>t)) holds for every choice of positive integers (s) and

Prove that if $X$ has the geometric density, then the "memoryless property" $P(x>s+t \quad \mid x>s)=P(x>t)$ holds for every choice of positive integers $s$ and $t$.

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