Factory has three suppliers for getting the parts needed for manufacturing: 40% of the parts purchased from supplier 1 (S1), 37% from supplier 2 (S2) and 2396 from supplier 3 (S3). Historical data suggest that the quality ratings of the three suppliers are, where G for good and B for bad parts, P(G|S1)=0.95, P(G|52)=0.89 and P(G|S3)=0.85. What is the overall probability of finding a bad part from the combined shipments of the three suppliers?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Factory has three suppliers for getting the parts needed for manufacturing 40% of the parts purchased from supplier 1 (S1), 37% from supplier 2 (S2) and 2396 from supplier 3(53).
Historical data suggest that the quality ratings of the three suppliers are, where G for good and B for bad parts, P(G|S1)=0.95, P(G|S2)=0.89 and P(G|S3)=0.85.
What is the overall probability of finding a bad part from the combined shipments of the three suppliers?
O A. 0.0345
O B. 0.0407
O C.0.02
O D.0.0952
Transcribed Image Text:Factory has three suppliers for getting the parts needed for manufacturing 40% of the parts purchased from supplier 1 (S1), 37% from supplier 2 (S2) and 2396 from supplier 3(53). Historical data suggest that the quality ratings of the three suppliers are, where G for good and B for bad parts, P(G|S1)=0.95, P(G|S2)=0.89 and P(G|S3)=0.85. What is the overall probability of finding a bad part from the combined shipments of the three suppliers? O A. 0.0345 O B. 0.0407 O C.0.02 O D.0.0952
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