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

question 17

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. $$\begin{array} { l | l | l | l | l | l | } \hline \text { Income Bracket } & 0 - 19,999 & 20,000 - 39,999 & 40,000 - 59,999 & 60,000 - 79,999 & 80,000 - 99,999 \\\hline \text { Households } & 270 & 290 & 200 & 140 & 100 \\\hline\end{array}$$ 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) \(P ( X > 50,000 ) = 0.27\)
• B) \(P ( X > 50,000 ) = 0.1\)
• C) \(P ( X > 50,000 ) = 0.44\)
• D) \(P ( X > 50,000 ) = 0.24\)
• E) \(P ( X > 50,000 ) = 0.29\)