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Section I Sample Examination Two<br />

2. A telecommunications company uses three different systems to produce the print shaft<br />

holder <strong>fo</strong>r its most popular fax machine. System A produces 50o/o of the shaft holders,<br />

System B produces 30% ofthe shaft holders, and System C produces 20% ofthe shaft<br />

holders. The percentages of defective shaft holders produced by each system are<br />

respectively, 3Vo, 4Yo and 5o/o.<br />

(a) If a shaft holder is selected at random, what is the probability that it is defective?<br />

(b) If a shaft holder is selected at random and <strong>fo</strong>und to be defective, what is the<br />

probability that it was produced by System A?<br />

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