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Continuous Random Variables

  1. Oct 11, 2008 #1
    1. The problem statement, all variables and given/known data
    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.

    2. Relevant equations

    3. The attempt at a solution

    Using X = ambulance position, Y = accident position I found

    fx(x) = 1/L for x<= L
    fy(y) = 1/L for y<=L

    Now I'm stuck. :(
  2. jcsd
  3. Oct 11, 2008 #2
    So am I right thinking we have to find:

  4. Oct 12, 2008 #3
    Last bump, I hope someone can help me this time!!
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