Red Ryder maintains control of the BB making machine at his toy rifle company by taking a sample of 100 BBs and inspecting each BB against company standards. On average, about 3.5 BBs are defected in each sample. Red then plots the proportion defective found in each sample on a control cart. If Red wants only 10% chance of stopping the machine because the sampling results say to do so when the machine is actually functioning properly, what should the upper and lower control limits be on this chart? Please show all work.