You\'re a quality control engineer at a computer chip manufacturer. You ship chi

Question

You're a quality control engineer at a computer chip manufacturer. You ship chips in lots of size
1000. Your sampling plan specifies that 50 chips be randomly sampled from each lot, and the
lot is accepted if the number of defective chips is four or fewer.

a. Find the probability of accepting a lot as a function of the actual fraction of defective
chips. Use Excel to allow the fraction of defective chips to vary between 0.01 and 0.20,
and compute the probability of lot acceptance for each of these fraction defectives.

b. Plot the probability of lot acceptance versus the fraction defectives and comment.

Please show all steps to this including for the excel part. Thanks for your help! ** Can Use R if needed

Explanation / Answer

Suppose that a lot of size N has been submitted for inspection. A single-sampling plan is defined by the sample size n and acceptance number c. if the lot size is N = 1000, sample size n = 50.

by using MS Excel

Fraction defective acceptance number Probability of acceptance 0.01 0 0.605006067 0.02 1 0.735771394 0.03 2 0.810798075 0.04 3 0.860869209 0.05 4 0.89638319 0.06 5 0.922359405 0.07 6 0.941686364 0.08 7 0.956205216 0.09 8 0.967167726 0.1 9 0.975462064 0.11 10 0.981736949 0.12 11 0.986475724 0.13 12 0.990043428 0.14 13 0.992718231 0.15 14 0.99471328 0.16 15 0.996192358 0.17 16 0.997281401 0.18 17 0.998077142 0.19 18 0.998653681 0.2 19 0.999067564

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