Question

Let X be the time between successive arrivals to an intersection in a rural area. Suppose...

Let X be the time between successive arrivals to an intersection in a rural area. Suppose cars arrive to the intersection via a Poisson process at a rate of 1 every 5 minutes.

(a) What distribution does X have?

(b) What is the mean time between arrivals?

(c) What is the probability that more than 7 minutes will pass between arrivals to the intersection?

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