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 0, both > 0 and the pdf is the following. { ko* x > 0 f(æ) 0, x < 0 What can you say about E(X), if k = 1? Choose the option 'None among the others', if your answer is different from all the others. O E(X)is equal to 1. None among the others O E(X) cannot be described without first defining 0. E(X) is undefined. O E(X)is equal to 0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 54E
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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 0, both > 0 and the pdf is the following.
x > 0
f(x)
0,
What can you say about E(X), if k = 1? Choose the option 'None among the
others', if your answer is different from all the others.
O E(X) is equal to 1.
None among the others
E(X) cannot be described without first defining 0.
E(X) is undefined.
O E(X) is equal to 0.
Transcribed Image Text: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 0, both > 0 and the pdf is the following. x > 0 f(x) 0, What can you say about E(X), if k = 1? Choose the option 'None among the others', if your answer is different from all the others. O E(X) is equal to 1. None among the others E(X) cannot be described without first defining 0. E(X) is undefined. O E(X) is equal to 0.
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