Suppose cars enter a one-way infinite length, infinite lane highway at a Poisson rate ? . The i…

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Suppose cars enter a one-way infinite length, infinite lane highway at a Poisson rate λ. The ith car to enter chooses a velocity Vi and travels at this veloc- ity. Assume that the Vi’s are independent positive rv s having a common distribution

F.    Derive the distribution of the number of cars that are located in an interval (0, a) at time t.

 

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