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Card 24 / 25:
memoryless property
For an exponential random variable X , the memoryless property is the statement that knowledge of what has occurred in the past has no effect on future probabilities. This means that the probability that X exceeds x + k , given that it has exceeded x , is the same as the probability that X would exceed k if we had no knowledge about it. In symbols we say that P ( X > x + k | X > x ) = P ( X > k ).
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