Question

Traffic on Rosedale Road in Princeton, NJ, follows a Poisson process with rate 6 cars per...

Traffic on Rosedale Road in Princeton, NJ, follows a Poisson process with

rate 6 cars per minute. A deer runs out of the woods and tries to cross the road. It

takes the deer a random time (independent of everything else), uniformly distributed

between 2 and 5 seconds, to cross the road. If there is a car passing while the deer is

on the road, it will hit the deer with portability 2/3 (independent of everything else).

Find the probability of a collision. Use Poisson and Thinning

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