3. An ambulance travels back and forth at a constant speed along a road of length...

3. 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, the distance of the point 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, and assuming independence of the variables, compute

(a) The distribution of the distance of the ambulance from the accident.

(b) The expected distance of the ambulance from the location of the accident.

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orchestra answered 1 year ago

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