Question: The Pareto sdsistribution, with parameters α and β, has pdf (a) Verify that f(x) is a pdf. (b) Derive the mean and variance of this

The Pareto sdsistribution, with parameters α and β, has pdf

Ba z9+1 a<z< 00, %3D a > 0, B> 0. f(z) =

(a) Verify that f(x) is a pdf.
(b) Derive the mean and variance of this distribution.
(c) Prove that the variance does not exist if β

Ba z9+1 a 0, B> 0. f(z) =

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