Drivers stop to fill up their cars at a service station according to a Poisson process with rate λ = 15 per hour. The service station has only one gasoline pump, and there is room for only two waiting...

Drivers stop to fill up their cars at a service station according to a Poisson process with rate λ = 15 per hour. The service station has only one gasoline pump, and there is room for only two waiting cars. We suppose that the average service time is equal to two minutes.

(b) If we suppose that an arriving driver who finds the three spaces occupied will go to another service station, what proportion of potential customers is lost?