Use Bayes's Rule to Find the Indicated Probability An Adult Is Selected at Random from the City

question 123

Multiple Choice

Use Bayes's rule to find the indicated probability.
-A survey conducted in one U.S. city together with information from the census bureau yielded the following table. The first two columns give a percentage distribution of adults in the city by ethnic Group. The third column gives the percentage of people in each ethnic group who have health
Insurance. $$\begin{array} { l c c } \text { Ethnic Group } & \begin{array} { l } \text { Percentage } \\\text { of adults }\end{array} & \begin{array} { c } \text { Percentage with } \\\text { health insurance }\end{array} \\\hline \text { Caucasian } & 44.0 & 78 \\\text { African American } & 12.1 & 44 \\\text { Hispanic } & 18.6 & 51 \\\text { Asian } & 12.7 & 66 \\\text { Other } & 187.4 & 46\end{array}$$ An adult is selected at random from the city. Determine the probability that the adult obtained is
Asian given that he or she has health insurance.

• A)0.001
• B)0.084
• C)0.66
• D)0.127

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Definitions:

Statistical Criteria

Standards or rules used in statistics to make decisions or interpretations about data, such as significance tests.

Sample

A subset of individuals, events, or items selected from a larger population used to conduct statistical analysis.

Pie Graph

A circular chart divided into sectors, each sector shows the relative size of some data.

Histogram

A graphical representation showing a frequency distribution where the data is grouped into ranges and represented by bars.