From a very large batch of mass produced widgets, a simple random sample of 20 is selected
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(ii) The above scheme is now modified in that, if the sample contains more than 2 defectives the batch is still rejected, but if the sample of 20 contains just 2 defectives, a further random sample of size 20 is selected, which may be assumed independent of the first sample. If the second sample contains no defectives then the batch is accepted, otherwise the batch is rejected. List the possible numbers of defectives in the two samples which lead to acceptance of the batch, and hence calculate the probability of accepting a batch, for p = 0.01, 0.05, 0.1.
(iii) Rejected batches are subject to 100% inspection and all defectives are removed. If the batch size is 1000, calculate the expected total number of items inspected in the two sampling schemes in (i) and (ii), for each of the values of p given. Comment briefly on your results.
Related Book For
Probability And Statistics For Engineering And The Sciences
ISBN: 9781305251809
9th Edition
Authors: Jay L. Devore
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