2 Consider an automobile assembly line in which each car undergoes two types of service: painting, then engine installation. Each hour, an average of 22.4 unpainted chassis arrive at the assembly line. It takes an average of 2.4 minutes to paint a car and an average of 3.75 minutes to install an engine. The assembly line has one painter and two engine installers. Assume that interarrival times and service times are exponential.
a On the average, how many painted cars without completely installed engines will be in the facility?
b On the average, how long will a painted car have to wait before installation of its engine begins?