The following table provides values of F(r) for the United States in 2010. Assume that the national average income was A = $66,000.

(a) What was the average income in the lowest 40% of households?
(b) Show that the average income of the households belonging to the interval [0.4, 0.6] was $48,180.
(c) Estimate F'(0.5). Estimate the income of households in the 50th percentile. Was it greater or less than the national average?

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r 0 0.2 F(r) 0 0.033 0.4 0.6 0.118 0.264 0.8 0.480 1 1