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

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