question archive A quality control inspector is always on the lookout for substandard parts and components provided to her manufacturing company by outside suppliers

A quality control inspector is always on the lookout for substandard parts and components provided to her manufacturing company by outside suppliers

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A quality control inspector is always on the lookout for substandard parts and components provided to her manufacturing company by outside suppliers. Because most shipments contain some defective items, each must be subjected to inspection. Naturally, some shipments contain more defectives than others, and it is the job of the inspector to identify the most defective-laden shipments so that they can be returned to the supplier. Suppose the inspector selects a sample of 121 items from a given shipment for testing. Unbeknownst to the inspector, this particular shipment includes eleven percent defective components. If the policy is to return any shipment with more than five percent defectives, what is the probability that this particular shipment (with eleven percent defectives) will be accepted as good anyway? ____________

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