1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Poisson Process - Prob Theory

  1. Apr 13, 2008 #1
    1. The problem statement, all variables and given/known data
    Cars pass a certain street location according to a Poisson process with rate lambda. A woman who wants to cross the street at that location wait until she can see that no cars will come by in the next T time units. Find the probability that her waiting time is T.

    2. Relevant equations

    3. The attempt at a solution
    I know that interarrival times have an exponential distribution.
    If X is the arrival of the next car,
    P(waiting time = T) = P( X > T )
    But I am not sure what this means. Any help would be appreciated.
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you help with the solution or looking for help too?

Similar Discussions: Poisson Process - Prob Theory
  1. Another prob question (Replies: 0)

  2. Poisson statistics (Replies: 0)

  3. Stochastic Processes (Replies: 0)