22. Consider a manufacturing firm that receives shipments of parts from two diff

Question

22. Consider a manufacturing firm that receives shipments of parts from two different suppliers. Let At denote the event that a part is from supplier 1 and Aj part is from supplier 2, Currently, 80% of the parts purchased by the company are supplier! and the remaining 20% are from supplier 2 . The varies with the source of supply. Historical data suggests that the suppliers are shown below. denote the event that a from quality of the purchased parts quality ratings of the two Percentage of Good Parts Percentage of Bad Parts Supplier 1 Supplier 2 90 10 85 15 a) Given the information that the part is bad, what is the probability that it came from supplier 1? Final Answer: b) Given the information that the part is bad, what is the probability that it came from supplier 27 Final Answer:

Explanation / Answer

a) P( Supplier 1/Bad) = 10/(10+15) = 0.4

b) P( Supplier 2/Bad) = 15/(10+15) = 0.6

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