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A manufacturing process produces compact discs (CDs). It is known that 10% of the CDs produced are defective. A simple test is used to determine

A manufacturing process produces compact discs (CDs). It is known that 10% of the CDs produced are defective. A simple test is used to determine whether a CD is defective, for which 98% of the defective CDs are detected and 5% of the good CDs are declared defective. 

(a) What is the probability that a randomly selected CD will be declared defective by the test?
(b) Given that a randomly selected CD is declared defective by the test, what is the probability thatthe CD is truly defective? Show all work.

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