The number of cars that arrive at an inspection station within a time period of one hour follows a Poisson distribution with hourly rate/expectation 2 = 5. Further, the time a car waits at the inspection station once it arrives before moving on (finishes inspection) follows an exponential distribution with parameter 0 = 3 minutes. Assume the cars are independent of one another. What is the probability that exactly 5 cars show up to the inspection station in an hour and all 5 wait more

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