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 24 an hour between 7:00 p.m. and 9:00 p.m. Currently two inspectors are on duty during those hours, each of whom can inspect 15 trucks an hour.
a. How many trucks would you expect to see at the weighing station, including those being inspected (Round your answer to 3 decimal places.)
b. If a truck is en route to the station, about how many minutes would the driver expect to stay at the station (waiting in line and being inspected) (Round your answer to 2 decimal places.)
c. What is the probability that both inspectors would be busy at the same time (Hint: Both inspectors will be busy if there are 2 or more trucks at the station.) (Round your answer to 4 decimal places.)