A family of pdf's that has been used to approximate the distribution of income, city population size,

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A family of pdf's that has been used to approximate the distribution of income, city population size, and size of firms is the Pareto family. The family has two parameters, k and θ, both > 0, and the pdf is

A family of pdf's that has been used to approximate

a. Sketch the graph of f (x; k, θ).
b. Verify that the total area under the graph equals 1.
c. If the rv X has pdf f (x; k, θ), for any fixed b > θ, obtain an expression for P(X ≤ b).
d. For θ

Distribution
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