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:

La Raza Unida

A political party founded in the United States in the 1970s to promote Chicano (Mexican American) civil rights and empowerment.

Chicano Activists

Individuals of Mexican-American descent who advocate for political and social changes, often focusing on civil rights and education.

Southwest

A geographic region of the United States generally including Arizona, New Mexico, Texas, and parts of surrounding states, known for its distinct cultural heritage and arid climate.

Crusade for Justice

The Crusade for Justice was a Chicano civil rights and cultural organization founded by Rodolfo "Corky" Gonzales in Denver, Colorado in 1966, playing a crucial role in advocating for the rights and cultural pride of Mexican Americans.