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

question 219

Multiple Choice

Use Bayes' theorem to find the indicated probability.
-Use the results summarized in the table. $$\begin{array} { l | c c } & \text { Approve of mayor } & \text { Do not approve of mayor } \\\hline \text { Republican } & 8 & 17 \\\text { Democrat } & 18 & 13 \\\text { Independent } & 7 & 37\end{array}$$ 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) 0.391
• B) 0.581
• C) 0.545
• D) 0.674

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Definitions:

Bony Labyrinth

The rigid, outer structure of the inner ear, comprising the cochlea, vestibule, and semicircular canals, and contains the vestibular and auditory apparatus.

Otoliths

Otoliths are small, calcium carbonate crystals in the inner ear that contribute to the sense of balance and orientation by detecting head movements and gravity.

Stereocilia

Hairlike projections on the surface of certain cells, such as those in the inner ear, which are involved in the mechanosensation process.

Magnesium Chloride

A chemical compound often used in de-icing, dust control, and as a magnesium supplement in agriculture and medicine.