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## 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.

## Homework Equations

## 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.