Use Bayes' Rule to Find the Indicated Probability

question 56

Multiple Choice

Use Bayes' 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)0.5
• B)0.333
• C)0.714
• D)0.25

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Definitions:

Knights of Labor

A 19th-century labor organization in the United States that sought to promote the social and cultural uplift of the workingman, and aimed for an 8-hour workday.

Craft Unions

Labor unions representing workers who have specialized skills or crafts, focusing on improving their members' employment conditions.

Decertification

The process by which a labor union is removed as the representative of a group of workers.

Decertification Election

A formal process through which employees can vote to remove a union as their representative.