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

question 29

Multiple Choice

Use Bayes's rule to find the indicated probability.
-The first two columns of the table below give a percentage distribution for adults in one city by income group. The third column gives the percentage of people in each income group who plan to Buy a new car next year. $$\begin{array} { c c c } \begin{array} { l } \text { Income } \\\text { (dollars) }\end{array} & \begin{array} { c } \text { Percentage } \\\text { of population }\end{array} & \begin{array} { c } \text { Percentage that will } \\\text { buy new car next year }\end{array} \\\hline 0 - 4999 & 5.2 & 2 \\5000 - 9999 & 6.4 & 3 \\10,000 - 14,999 & 5.4 & 6 \\15,000 - 19,999 & 8.7 & 7 \\20,000 - 24,999 & 9.4 & 9 \\25,000 - 29,999 & 10.2 & 10 \\30,000 - 34,999 & 13.8 & 11 \\35,000 - 39,999 & 10.7 & 13 \\40,000 - 49,999 & 15.5 & 15 \\50,000 \text { and over } & 14.7 & 19\end{array}$$ An adult is picked at random from the city. Given that the person selected plans to buy a new car Next year, what is the probability that the person's income is between $5,000 and $9,999?

• A)0.05
• B)0.03
• C)0.01
• D)0.02

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Definitions:

Person Perception

The process by which individuals form impressions of others based on cues from social interactions and appearances.

Prejudice

A preconceived opinion or judgment, usually negative, towards someone or something without adequate knowledge or reason.

Person Perception

The process by which individuals form impressions of others based on available information and cues.

Positive Feelings

Emotions and sentiments that induce pleasurable experiences or perceptions, often associated with happiness, contentment, and love.