Use Bayes' Rule to Find the Indicated Probability

question 9

Multiple Choice

Use Bayes' rule to find the indicated probability.
-Two stores sell a certain MP3 players.Store A has 34% of the sales,5% of which are of defective items,and store B has 66% of the sales,1% of which are of defective items.The difference in defective rates is due to different levels of pre-sale checking of the product.A person receives a defective item of this product as a gift.What is the probability it came from store B?

• A)0.22
• B)0.7083
• C)0.275
• D)0.5667

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Definitions:

Random Sample

A sample that fairly represents a population because each member has an equal chance of inclusion.

Behaviors Or Attitudes

Observable actions or mental positions held by individuals towards objects, people, or concepts.

Replication

The process of repeating a study or experiment to verify its findings under similar conditions.

Earlier Research

Previous studies or scientific investigations conducted before the current study.