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The Following Table Shows the Distribution of Household Incomes for a Sample

Question 178

Multiple Choice

The following table shows the distribution of household incomes for a sample of 1,000 households in the U.S. with incomes up to $100,000.  Income Bracket 019,99920,00039,99940,00059,99960,00079,99980,00099,999 Households 270290200140100\begin{array} { l | l | l | l | l | l | } \hline \text { Income Bracket } & 0 - 19,999 & 20,000 - 39,999 & 40,000 - 59,999 & 60,000 - 79,999 & 80,000 - 99,999 \\\hline \text { Households } & 270 & 290 & 200 & 140 & 100 \\\hline\end{array} Let X be the midpoint of a bracket in which a household falls.
Find the probability that a U.S. household has a value of X of more than 50,000.


A) P(X>50,000) =0.27P ( X > 50,000 ) = 0.27
B) P(X>50,000) =0.1P ( X > 50,000 ) = 0.1
C) P(X>50,000) =0.44P ( X > 50,000 ) = 0.44
D) P(X>50,000) =0.24P ( X > 50,000 ) = 0.24
E) P(X>50,000) =0.29P ( X > 50,000 ) = 0.29

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