a quality control engineer wants to check whether (inaccordance with specificati

Question

a quality control engineer wants to check whether (inaccordance with specifications) 95% of the electronic components shipped by his company are in good working condition. to this end, he randonly selects 15 from each large lot ready to be shipped and passes the lot if the selected components are all in good workingcondition; otherwise, each of the components in the lot is checked. find the probabilities that the quality control engineer will commit the error of
a) holidng a lot further inspection even though 95% of thecomponenets are in good working condition;
b) letting a lot pass through without further inspectioneven though on 90% of the components are in good workingcondition;
c) letting a lot pass through without further inspection eventhough only 80% of the componenets are in good condition.

Explanation / Answer

a) 1-(0.95)^15 = 0.537 b) (0.90)^15 = 0.206 c) (0.80)^15 = 0.035

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