Given that a random variable X follows an Exponential Distribution with paramater β, how would you prove the memoryless property?(adsbygoogle = window.adsbygoogle || []).push({});

That is, that P(X ≤ a + b|X > a) = P(X ≤ b)

The only step I can really think of doing is rewriting the left side as [P((X ≤ a + b) ^ (X > a))]/P(X > a). Where can I go from there?

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# Proving the memoryless property of the exponential distribution

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