A survey conducted in one U.S. city together with information from the census bureau yielded the followingtable. The first two columns give a percentage distribution of adults in the city by ethnic group. The thirdcolumn gives the percentage of people in each ethnic group who have health insurance. Round to the nearestthousandth. $$\begin{array} { l c c }
\text { Ethnic Group } & \begin{array} { l }
\text { Percentage } \
\text { of adults }
\end{array} & \begin{array} { c }
\text { Percentage with } \
\text { health insurance }
\end{array} \
\hline \text { Caucasian } & 46.5 & 73 \
\text { African American } & 13.5 & 49 \
\text { Hispanic } & 19.4 & 56 \
\text { Asian } & 13.3 & 67 \
\text { Other } & 7.3 & 40
\end{array}$$ Determine the probability that a randomly selected adult has health insurance.
A) 0.633
B) 0.570
C) 0.063
D) 0.603

Question

A survey conducted in one U.S. city together with information from the census bureau yielded the followingtable. The first two columns give a percentage distribution of adults in the city by ethnic group. The thirdcolumn gives the percentage of people in each ethnic group who have health insurance. Round to the nearestthousandth. $$\begin{array} { l c c } 
\text { Ethnic Group } & \begin{array} { l } 
\text { Percentage } \
\text { of adults }
\end{array} & \begin{array} { c } 
\text { Percentage with } \
\text { health insurance }
\end{array} \
\hline \text { Caucasian } & 46.5 & 73 \
\text { African American } & 13.5 & 49 \
\text { Hispanic } & 19.4 & 56 \
\text { Asian } & 13.3 & 67 \
\text { Other } & 7.3 & 40
\end{array}$$ Determine the probability that a randomly selected adult has health insurance.
A) 0.633
B) 0.570
C) 0.063
D) 0.603

Quizplus · Accepted Answer

To find the probability that a randomly selected adult has health insurance, calculate the weighted average of the percentages with health insurance, using the percentage of adults in each ethnic group as weights: (0.465 * 0.73) + (0.135 * 0.49) + (0.194 * 0.56) + (0.133 * 0.67) + (0.073 * 0.40) = 0.633.

A Survey Conducted in One U Determine the Probability That a Randomly Selected Adult Has Health