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A survey estimates that 14.2% of Americans live below the poverty line, 20.3% speak a language other than English (foreign language) at home, and
A survey estimates that 14.2% of Americans live below the poverty line, 20.3% speak a language other than English (foreign language) at home, and 4.3% fall into both categories. (a) Are living below the poverty line and speaking a foreign language at home disjoint? O Yes, because no one is both living below the poverty line and speaking a language other than English at home. O No, because there are people living below the poverty line and speaking a language other than English at home. (b) Draw a Venn diagram summarizing the variables and their associated probabilities. (Enter your answers to three decimal places.) speak foreign language below poverty line (c) What percent of Americans live below the poverty line and only speak English at home? (Enter your answer to one decimal place.) (d) What percent of Americans live below the poverty line or speak a foreign language at home? (Enter your answer to one decimal place.) Pa (e) What percent of Americans live above the poverty line and only speak English at home? (Enter your answer to one decimal place.) (f) Is the event that someone lives below the poverty line independent of the event that the person speaks a foreign language at home? (Enter your answers to four decimal places.) Using the multiplication rule, P(below poverty line) x P(speak foreign language) %, while P(below poverty line and speak foreign language) = %. Since these two values are --Select-- v ---Select--- the events are
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