Problem # 1 (10 points) An accumulation conveyor is to be provided at a workstation. When the conveyor is full, parts are diverted to another area for processing. Parts arrive at a Poisson rate of 1 part/minute. The time required to process a part at the workstation is exponentially distributed with mean value of 45 seconds per part. It is desired to provide an accumulation line sufficiently long such that no more than 2% of the arriving parts will be diverted to another area of processing. What is the minimum number of waiting spaces that will satisfy the objective