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If We Model After-Tax Household Income with a Normal Distribution

Question 36

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If we model after-tax household income with a normal distribution, then the figures of a 1995 study imply the information in the following table. Assume that the distribution of incomes in each country is normal, and round all percentages to the nearest whole number. What percentage of U.S. households had an income of $50,000 or more Express your answer to the nearest 1%.  Country  U.S.  Canada  Switzerland  Germany  Sweden  Mean  household  income $38,000$35,000$39,000$34,000$32,000 Standard  deviation $21,000$17,000$16,000$14,000$11,000\begin{array} { | l | l | l | l | l | l | } \hline \text { Country } & \text { U.S. } & \text { Canada } & \text { Switzerland } & \text { Germany } & \text { Sweden } \\\hline \begin{array} { l } \text { Mean } \\\text { household } \\\text { income }\end{array} & \$ 38,000 & \$ 35,000 & \$ 39,000 & \$ 34,000 & \$ 32,000 \\\hline \begin{array} { l } \text { Standard } \\\text { deviation }\end{array} & \$ 21,000 & \$ 17,000 & \$ 16,000 & \$ 14,000 & \$ 11,000 \\\hline\end{array}
__________% of households

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