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Vehicles arrive at a small bridge according to a Poisson process with arrival rate l =...

Vehicles arrive at a small bridge according to a Poisson process with arrival rate l = 900 veh/hr. a. What are the mean and the variance of the number of arrivals during a 30 minutes interval? b. What is the probability of 0 cars arriving during a 4 second interval? c. A pedestrian arrives at a crossing point just after a car passed by. If the pedestrian needs 4 sec to cross the street, what is the probability that a pedestrian will be able to cross the bridge without being hit by a car?

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