The potholes in a long road occur as a Poisson process of rate 4 per mile. In other words, if we let R(t) = the number of potholes in the first t miles of the road then the random variables (R(t): t > 0) form a Poisson process of rate 4. What is the probability that there are 3 potholes in the first half mile of road? What is the probability that the distance between the first two potholes on the road is less that 1 mile?

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