Use Bayes' Theorem to Find the Indicated Probability One of the 100 Test Subjects Is Selected at Random

question 25

Multiple Choice

Use Bayes' theorem to find the indicated probability.
-Use the results summarized in the table. $$\begin{array} { l | c c } & \text { Approve of mayor } & \text { Do not approve of mayor } \\\hline \text { Republican } & 15 & 13 \\\text { Democrat } & 20 & 17 \\\text { Independent } & 12 & 23\end{array}$$
One of the 100 test subjects is selected at random. Given that the person selected approves of the mayor, what is the probability that they vote Democrat?

• A) 0.313
• B) 0.578
• C) 0.426
• D) 0.541

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