A manufacturer claimed that at least 95% of the equipments which he supplied to a factory confirmed to specifications. An examination of sample of 200 pieces of equipments revealed that 18 were faulty. Test ts claim at a significance level of (i) 5% (ii) 1%
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Components arriving at a distributor are checked for defects by two different inspectors (each component is checked by both inspectors. The first inspector detects 90%% of all defectives that are present, and the second inspector does likewise. At least one inspector fails to detect a defect on 20%% of all defective components. What is the probability that the following occur?
(a) A defective component will be detected only by the first inspector? By exactly one of the two inspectors?
(b) All three defective components in a batch escape detection by both inspectors (assuming inspections of different components are independent of one another)?
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