Acceptance Sampling With one method of a procedure called acceptance sampling, a
ID: 3209231 • Letter: A
Question
Acceptance Sampling With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the entire batch is accepted if every item in the sample is okay. Among 8834 cases of heart pacemaker malfunctions, 504 were found to be caused by firmware, which is software programmed into the device (based on data from "Pacemaker and ICD Generator Malfunctions, " by Maisel et al Journal of the American Medical Association, Vol. 295, No. 16). If the firmware is tested in three different pacemakers randomly selected from this batch of 8834, what is the probability that the firmware in the entire batch will be accepted? Does this procedure suggest that the entire batch consists of good pacemakers? Why or why not?Explanation / Answer
as there are (8834-504=) firm ware free products
here probabilty of firm ware in the entire batch will be accepted =(8330/8834)*(8329/8833)*(8328/8832)=0.8384
No this procedure does not suggest that entire batch consist of good pacemakers. As there is significant probability (!-0.8384=0.16>0.05) that batch contain defects.