A company uses a single sampling plan to inspect the received lots from one of its suppliers. During the inspection, if a lot is rejected, all the products in that lot will be inspected. Analysis of the past few purchases shows that the average reliability of the supplier is 97%. The company inspects 90 items in each lot and if the number of defective items is more than 4, then the lot will be rejected. The size of each lot is 5000 units. a) Calculate the average outgoing quality b) Due to the limited purchases from the supplier, the company is not fully confident about the reliability of the supplier. They estimate that the possible scenarios for the reliability of the supplier would be 90%, 95% or 97%. Find the worst average outgoing quality for the company considering the possible scenarios for the reliability of the supplier c) The company is planning to revise its inspection plan as well. They are planning to use Military Standard 105E to identify the proper inspection plan. The company has no issue on sample size and they believe they can use Level Ill general inspection. Also, their desired average quality limit is 1%. What are the specifications of sampling plan for normal, tightened, and reduced inspections? Related tables are provided at the end of the exam sheet. Under which condition in the reduced single sampling plan, we accept the lot but for the next lot we should switch from reduced to normal single sampling plan?