Lots of forty components each

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

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.