Question: Let P(x) be the cumulative distribution function for the household income distribution in the US in 2009. Values of P(x) are in the following table:

Let P(x) be the cumulative distribution function for the household income distribution in the US in 2009. Values of P(x) are in the following table:

Income x (thousand $) P(x) (%) 20 40 60 75 100 29.5

(a) What percent of the households made between $40,000 and $60,000? More than $100,000?
(b) Approximately what was the median income?
(c) Is the statement “More than one-third of households made between $40,000 and $75,000" true or false?

Income x (thousand $) P(x) (%) 20 40 60 75 100 29.5 50.1 66.8 76.2 87.1

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