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:

Mutual Savings Bank

A financial institution owned by its depositors, primarily engaging in saving accounts and residential mortgage lending.