The annual incomes of the households in a certain community range between 5 and 25 thousand dollars.
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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, 5 ≤ x ≤ 25.
(a) Find the value of k that makes f (x) a density function.
(b) Find the fraction of households whose income exceeds $20,000.
(c) Find the mean annual income of the households in the community.
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Related Book For
Calculus And Its Applications
ISBN: 9780134437774
14th Edition
Authors: Larry Goldstein, David Lay, David Schneider, Nakhle Asmar
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