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Approximately $30 \%$ of the 44 million people in the United States who do not have health insurance are between the ages of 18 and $24 .$ (Source: U.S. Census Bureau) About how many people in the United States aged 18 to 24 do not have health insurance?
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The following table shows the number of people, in thousands, in the United States with and without health insurance in 2011 , according to the U.S. Census Bureau: $$ \begin{array}{lcc} \text { Age Group } & \text { Insured } & \text { Uninsured } \\ \text { Under 18 years } & 66,835 & 6,902 \\ 18 \text { to } 24 \text { years } & 22,491 & 7,649 \\ 25 \text { to } 34 \text { years } & 29,690 & 11,529 \\ 35 \text { to } 44 \text { years } & 31,588 & 8,399 \\ 45 \text { to } 64 \text { years } & 68,544 & 13,382 \\ \text { 65 years and older } & 40,817 & 690 \end{array} $$ a. What percentage of the U.S. population in 2011 did not have health insurance and was between the ages of 18 to 24 years? b. What percentage of the U.S. population in 2011 did not have health insurance or was between the ages of 25 to 34 years? c. What percentage of the U.S. population in 2011 did have health insurance, given they were 65 years or older? d. Do age group and health insurance appear to be independent or dependent events? Define Event $A$ as a person 45 to 64 years old and Event $B$ as the person insured. What conclusions can be drawn with this information?
Introduction to Probabilities
Probability Rules for More Than One Event
Health Insurance The accompanying table gives the population (in hundred thousands) and number of people not covered by health insurance (in hundred thousands) for the United States. Find the percentage of people not covered by health insurance for each of the given years and describe the trend. (Source: 2017 World Almanac and Book of Facts $)$ $$ \begin{array}{|c|c|c|} \hline \text { Year } & \text { Uninsured } & \text { Total Population } \\ \hline 1990 & 34,719 & 249,778 \\ \hline 2000 & 36,586 & 279,282 \\ \hline 2015 & 29,758 & 316,574 \\ \hline \end{array} $$
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