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Mathematics, 10.04.2020 18:42 maritzamartinnez

A fire station is to be located along a road of length A, A < [infinity]. If fires will occur at points uniformly chosen on (0, A), where should the station be located so as to minimize the expected distance from the fire? That is, choose a so as to minimize E [|X − a|] 1 when X is uniformly distributed over (0, A).

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