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An elevator in a hospital is required to be able to travel from the top floor to the bottom floor, and also stop at all

An elevator in a hospital is required to be able to travel from the top floor to the bottom floor, and also stop at all floors in between for a maximum time of 5 minutes due to emergency reasons, provided that the elevator is working as designed.

If you are on the 1st floor and you press the elevator button, what is the probability that the elevator arrives within the next 29 seconds? Round to 4 decimal places.

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