When I go swimming, the distance in meters that I can swim before getting cramp in one of my hands is exponentially distributed with parameter 1 = 1/463.5. What is the probability that, on a random occasion when I go swimming, I swim at least 458.1 meters without getting hand cramp? Give your solution accurate to 4 decimal places.

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Chapter1: Combinatorial Analysis
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When I go swimming, the distance in meters that I can swim before getting cramp in one of my hands is
exponentially distributed with parameter 1 = 1/463.5. What is the probability that, on a random
occasion when I go swimming, I swim at least 458.1 meters without getting hand cramp?
Give your solution accurate to 4 decimal places.

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