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Question Three (30 Points) A home delivery service company keeps track of customer complaints. For each delivery, there are three possible types of complaint: I late delivery, a poorly handled delivery, or an incorrect delivery. Each week, management of the company calculates the rate of delivery defects for all deliveries, and then uses this information to determine the company's Six Sigma quality level. During the past week, the company made 620 deliveries. The drivers received 16 late delivery complaints, 19 poorly handled delivery complaints, and 5 incorrect delivery complaints. a) [10 points] Calculate the DPMO value and determine the long and short term sigma quality level of the company. b) [10 points] To achieve a calculated short term sigma quality level of 3.9, what would have been the number complaints? c) [10 points] Assume that the company's long term quality level is actually at 2.5 sigma. What would have been the theoretical number of complaints