Question: For the double sampling plan described in Problem, determine the following:
a. The probability that the lot is rejected based on the first sample.
b. The probability that the lot is rejected based on the second sample.
c. The expected number of items sampled before the lot is accepted or rejected.
Problem: Consider the following double sampling plan. First select a sample of 5 from a lot of 100. If there are four or more defectives in the sample, reject the lot. If there is one or fewer defective, accept the lot. If there are two or three defectives, sample an additional five items and reject the lot if the combined number of defectives in both samples is five or more. If the lot has 10 defectives, what is the probability that a lot passes the inspection?