Use Bayes' Theorem to Find the Indicated Probability A Test Subject Is Randomly Selected and Tested for the the Table

question 32

Multiple Choice

Use Bayes' theorem to find the indicated probability.
-Refer to the table which summarizes the results of testing for a certain disease. $$\begin{array} { l | c c } & \text { Positive Test Result } & \text { Negative Test Result } \\\hline \text { Subject has the disease } & 87 & 9 \\\text { Subject does not have the disease } & 27 & 312\end{array}$$ A test subject is randomly selected and tested for the disease. What is the probability the subject has the disease given that the test result is negative?

• A) 0.028
• B) 0.221
• C) 0.972
• D) 0.094

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Definitions:

Reaction

A reaction is a process in which one or more substances, the reactants, are converted to one or more different substances, the products.

Complex Metal Hydrides

A class of compounds formed by the combination of a metal with hydrogen, typically used as hydrogen storage materials.

Ketones

Organic compounds characterized by the presence of a carbonyl group bonded to two carbon atoms.

Alcohols

Organic compounds containing a hydroxyl (-OH) group attached to a saturated carbon atom, and are widely used in industry and chemistry.