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:

Choanocytes

Specialized cells found in sponges that use their flagella to create a water flow and trap food particles.

Phylum Cnidaria

A taxonomic rank and classification category that includes jellyfish, corals, and other sea anemones characterized by cnidocytes, specialized cells for capturing prey.

Exclusively Terrestrial

Referring to organisms or features that exist solely on land, without any aquatic or aerial adaptation.

Chilopods

A class of arthropods commonly known as centipedes, characterized by elongated bodies and a pair of legs per body segment.