Derive the distribution of the number of cars

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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 velocity. 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.

Reference no: EM13909681

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