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Use Bayes's Rule to Find the Indicated Probability

Question 22

Multiple Choice

Use Bayes's rule to find the indicated probability.
-Two shipments of components were received by a factory and stored in two separate bins. Shipment I has 2% of its contents defective, while shipment II has 5% of its contents defective. If it is Equally likely an employee will go to either bin and select a component randomly, what is the Probability that a defective component came from shipment II?


A) 0.333
B) 0.25
C) 0.5
D) 0.714

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