3.3) A company knows that an experienced machine operator will produce a defective item 1% of...
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3.3) A company knows that an experienced machine operator will produce a defective item 1% of the time. Operators with some experience have a 2.5% defect rate, and new operators have a 6% defect rate. At any one time, the company has 60% experienced operators, 30% with some experience, and 10% new operators. The probability that a particular defective item was produced by a new operator is (You need to show your work to earn any point before choosing the answer): A) (0.50) (0.02)/[(0.50) (0.02) + (0.20) (0.03) + (0.05) (0.06)] B) (0.01)(0.06)/[(0.50) (0.02)+(0.20) (0.03) + (0.05) (0.06)] C) (0.20) (0.03)/[(0.50) (0.02) + (0.20) (0.03) + (0.05) (0.06)] D) None. 3.3) A company knows that an experienced machine operator will produce a defective item 1% of the time. Operators with some experience have a 2.5% defect rate, and new operators have a 6% defect rate. At any one time, the company has 60% experienced operators, 30% with some experience, and 10% new operators. The probability that a particular defective item was produced by a new operator is (You need to show your work to earn any point before choosing the answer): A) (0.50) (0.02)/[(0.50) (0.02) + (0.20) (0.03) + (0.05) (0.06)] B) (0.01)(0.06)/[(0.50) (0.02)+(0.20) (0.03) + (0.05) (0.06)] C) (0.20) (0.03)/[(0.50) (0.02) + (0.20) (0.03) + (0.05) (0.06)] D) None.
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