kA x2 A is a PDF for any value A where A and kare constants and find its Verify f(x) = - associated Cumulative Distribution Function. The annual incomes of the households in a certain community range between 5 and 25 thousand dollars. Let X represent the annual income (in thousands of dollars) of a household chosen at random in this community, and suppose that the probability density function for X is f(x) = kx income exceeds $20,000 and find the mean annual income of households in the community. for what value k is f(x) a PDF, find the fraction of households whose 5sxs 25

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