Components arriving at a distributor are checked for defects by two differentinspectors (each component is checked by both inspectors). The first inspector detects90% of all defectives that are present, and the second inspector does likewise. At leastone inspector does not detect a defect on 20% of all defective components. What is theprobability that the following occur?a. A defective component will be detected only by the first inspector? By exactlyone 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 oneanother)?

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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 does not 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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