Advanced Assembly, Inc. manufactures machine parts. One assembly line has a robotic welding station that takes a fixed time of 47 seconds to perform its welding operation. Parts come down the assembly line at a rate of 55 per hour, following a Poisson distribution.
(a) Determine the average number of parts waiting to be welded at this station.
(b) Calculate the average time a part waits at this station before welding begins.
(c) What percent of the time is the robot idle (not welding)?
(d) What is the average time a part spends at this station (including time in line)? Hint: The service time is fixed at 47 seconds.