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Continuous Random Variables

  • Thread starter dashkin111
  • Start date
  • #1
46
0

Homework Statement


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.


Homework Equations





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. :(
 

Answers and Replies

  • #2
46
0
So am I right thinking we have to find:

f|x-y|(x-y)?
 
  • #3
46
0
Last bump, I hope someone can help me this time!!
 

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