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Mathematics, 15.04.2020 00:07 wlackey2020

An ambulance travels back and forth, at a constant speed, along a road of length L. At a certain moment of time an accident occurs at a point uniformly distributed on the road. [That is, its distance from one of the fixed ends of the road is uniformly distributed over (0,L).] Assuming that the ambulance’s location at the moment of the accident is also uniformly distributed, compute, assuming independence, the distribution of its distance from the accident.

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