Cars pass a certain street location according to a Poisson process with rate . A woman who
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Cars pass a certain street location according to a Poisson process with rate λ.
A woman who wants to cross the street at that location waits until she can see that no cars will come by in the next T time units.
(a) Find the probability that her waiting time is 0.
(b) Find her expected waiting time.
Hint: Condition on the time of the first car.
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