Question

Please rigorously justify your answers to the following question. (a) A fire station is to be...

Please rigorously justify your answers to the following question.

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

(b) Repeat part (a) when two fire stations are to be built along the road and we want to minimize the expected distance to the station closest to the fire.

Please solve ONLY part (b)!!!!!!

Math   Statistics-And-Probability   
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