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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Definitions:

Information Systems

Integrated sets of components for collecting, storing, and processing data and for providing information, knowledge, and digital products.

Access

The means or opportunity to approach, enter, or use something.

Confidential Data

Sensitive information that is protected from unauthorized access to safeguard privacy or security.

Organizational Structure

The system that outlines how certain activities are directed in order to achieve the goals of an organization, including rules, roles, and responsibilities.