Question: Jim Carter builds custom furniture primarily cabinets bookcases small tables
Jim Carter builds custom furniture, primarily cabinets, bookcases, small tables, and chairs. He only works on one piece of furniture for a customer at a time. It takes him an average of five weeks (exponentially distributed) to build a piece of furniture. An average of 14 customers approach Jim to order pieces of furniture each year (Poisson distributed); however, Jim will only take a maximum of eight advance orders. Determine the average time a customer must wait to receive a furniture order once it is placed and how busy Jim is. What is the probability that a customer will be able to place an order with Jim?
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