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Question:

i have a statistics questions relating to probability!?

A company specializes in manufacturing electrical equipment. Recently, several long-time customers have complained about the quality of the equipment. It seems there are several damaged goods. The defective equipment should have been caught when the boxes were packed. The manager is wondering which of the three packers is not doing the job properly. Clerk 1 packs 40% of the boxes and usually has a 2% defective rate. Clerk 2 packs 30% with a 2.5% defective rate. Clerk 3 boxes 30% of the boxes and her defective rate is 1.5%. Which clerk is most likely responsible for the boxes that raised the complaints?

Answer:

clerk 1; 0.4(0.020) 0.0080 clerk 2; 0.3(0.025) 0.0075 clerk 3; 0.3(0.015) 0.0045 answer: clerk 1

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