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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