Trucks are required to pass through a weighing station so that they can be checked for weight violations. Trucks arrive at the station at the rate of 30 per hour. Currently two inspectors are on duty during those hours, each of whom can inspect 25 trucks an hour. Assume that arrival follows Poisson process and inspection time of each truck follows exponential distribution. If a truck was just arriving at the station:
a. What is the probability that the truck will have to wait in line?
b. On average, how long should the driver expect to be at the station?
c. What's the probability that the driver will wait more than 10 minutes in the queue?