Lots of forty components each are called acceptable if they
contain no more than five defectives. The decision procedure used is to inspect
components drawn at random until a defective is found. If this occurs in the first
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six components drawn, the lot is rejected. If the first six drawn are non-defective,
the lot is passed. Find the maximum probability that a non-acceptable lot will be
passed. Find the maximum probability that an acceptable lot is rejected.