p. 3 lath 331 Applied Probability a S.ID.H Section: Name (11) A quality control

Question

p. 3 lath 331 Applied Probability a S.ID.H Section: Name (11) A quality control engineer inspects a random sample of two hand - held calculators from each incoming lot of size 18, and accepts the lot if they are both in good working condition; otherwise, the entire lot is inspected with the cost charged to the vender, What are the probabilities that such a lot will be accepted without further inspection if it contains (a) 4 calculators that are not in good working condition (b)12 calculators that are not in good working condition?

Explanation / Answer

a) from above probability of accepting the lot =P(both calculators are good) =(14/18)*(13/17)=0.5948

b)

probability of accepting the lot =P(both calculators are good) =(16/18)*(15/17)=0.7843

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