Question: Show that P(X > a + b | X > b) = P (X > a) for an exponential distribution with parameter lambda. This is

Show that P(X > a + b | X > b) = P (X > a) for an exponential distribution with parameter lambda.

This is a proofing question, so please show each step of the proof clearly and provide reasoning/definition for each step (what the step is/theorem/where is it derived from, etc.). Thanks so much!

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