Use Bayes' Theorem to Find the Indicated Probability

question 146

Multiple Choice

Use Bayes' theorem to find the indicated probability.
-In the town of Maplewood a certain type of DVD player is sold at just two stores. 43% of the sales are from store A and 57% of the sales are from store B. 2.4% of the DVD players sold at store A are defective while 4.0% of the
DVD players sold at store B are defective. If Kate receives one of these DVD players as a gift and finds that it is
Defective, what is the probability that it came from store A?

• A) 0.453
• B) 0.024
• C) 0.312
• D) 0.688

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Definitions:

Bathroom Cleaners

Products specifically formulated to clean, disinfect, and deodorize bathrooms, tackling various surfaces such as toilets, tiles, and sinks.

Reward Power

The ability to influence others' behavior by offering positive incentives or rewards.

Wholesale Price

The cost at which goods are sold by wholesalers to retailers or distributors, generally lower than retail prices.

Larger Quantities

Denotes the procurement, production, or offering of goods in amounts greater than usual.