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

---

Definitions:

Contribution Margin

The amount of revenue remaining after deducting the variable costs, indicating the contribution towards the fixed costs and profits.

Annual Production

The total quantity of goods or output produced by a company in a year.

Variable Cost

A cost that varies in direct proportion to changes in the level of production or sales volume, such as materials and labor used in production.

Idle Capacity

Resources available for use that are not currently being utilized in the production process.