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Poisson Process - Prob Theory

  • Thread starter Milky
  • Start date
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1. Homework Statement
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. Homework 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.
 

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