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The time between failures of our video streaming service follows an exponential distribution with a mean of 20 days. Our servers have been running for

The time between failures of our video streaming service follows an exponential distribution with a mean of 20 days. Our servers have been running for 15 days, What is the probability that they will run for at least 45 days? (clarification: run for at least another 30 days given that they have been running 15 days). Report your answer to 3 decimal places.

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