Machines A, B and C all produce the same 2 parts X and Y. Of all the products produced machine A produces 60 %, machine B produces 30 % and machine C produces 10 %. In addition, 40 % of the parts made by machine A are part X, 50 % of the parts made by machine B are part X and 70 % of the parts made by machine C are part X. A part produced by this company is randomly sampled and it is determined to be an X part. With this knowledge that it is an X part, revise the probabilities that the part are from machines A , B or C?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Machines A, B and C all produce the same 2 parts X and Y. Of all the products produced machine A produces 60 %, machine B produces 30 % and machine C produces 10 %. In addition, 40 % of the parts made by machine A are part X, 50 % of the parts made by machine B are part X and 70 % of the parts made by machine C are part X.

A part produced by this company is randomly sampled and it is determined to be an X part. With this knowledge that it is an X part, revise the probabilities that the part are from machines A , B or C?

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