Show that f(x)f(x) is a probability density function, Find E(X)E(X) and Var(X)Var(X). A random variable has a Pareto distribution with parameters aO and xo > 0 if its density function isfor x > x0f(x) =otherwise.

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Show that f(x)f(x) is a probability density function, Find E(X)E(X) and Var(X)Var(X).

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.3: Special Probability Density Functions

Problem 30E

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Show that f(x)f(x) is a probability density function,

Find E(X)E(X) and Var(X)Var(X).

A random variable has a Pareto distribution with parameters a
O and xo > 0 if its density function is
for x > x0
f(x) =
otherwise.

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