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The next three-alarm fire that the local department must deal with can be at any time at all, day or night, but historically will occur

The next three-alarm fire that the local department must deal with can be at any time at all, day or night, but historically will occur on average in 4.2 days.

What is the probability that fire will occur within the next week (7.0 days)?

As it happens, there has been no fire after 4.8 days. What is the probability such a fire will still occur before the week (mentioned in the previous question) is finished?

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