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Two emergency response units patrol uniformly and independently a 10-mile stretch of road. An emergency incident occurs on the roadway and its position is uniformly distributed, independent of the positions of the response units. The incident requires both response units to be dispatched to the scene. Call the two units unit a and unit b. Assume that response speed is fixed at 10 mph and that U-turns are permitted.

a. Determine the mean travel time for unit a to reach the scene.

b. Determine the mean time until the first unit (either a or b) reaches the scene.

c. Determine the probability density function for the time until the second unit reaches the scene.

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    This is the Problem 3.3 of the book "Urban Operational Research". In the book, there is an example done for 1 response unit. I have problem in visualizing the sample space of the Random Variables in this question having 2 response units.2012-10-16
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    Ok, I have determined solutions for b. and c. (you should be able to look op part a.; it's identical to your example). I will try to put up a solution later today - since you don't get what's going on, I'll try to include some diagrams to illustrate.2012-10-16

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