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 = 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 = 3 minutes.

Assume the cars are independent of one another. What is the probability that exactly 5 (five) cars show up to the inspection station in an hour and at most 3 (three) of them wait more than 3 minutes? Round to second decimal place, 0.xx