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An online server experiences a technical glitch requiring a reboot with a probability of \(0.05\) each day (independently of other days). The server has been running smoothly without a reboot for 10 days. Let \(X\) be the random variable representing the day of the first reboot.
What is the probability that the server continues to run without a reboot for the next 5 days? Round to three decimal places.
What is the probability that the server reboots before the 18th day? Round to three decimal places.
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