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James gets headaches. The time between one headache and the next is an exponential random variable....

James gets headaches. The time between one headache and the next is an exponential random variable. He has noticed that, after having a headache, there is a 50% chance of having another headache within the next 4 days. James has not had a headache in 5 days. What is the probability that he will go for at least 5 more days before the next headache?

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