A continuous random variable is said to have a Pareto(x m ,) distribution 15 if its PDF is given by where x m , 0 Let X Pareto(x m ,) a Find the CDF of X, FX(x) b Find P(X 3x m X 2x m ) c If 2, find EX and V ar(X) a 0 fx(x) I'm x 1 for xm for xm...

a CDF of X FXx The cumulative distribution function CDF of a continuous random variable X is defined ...

A continuous random variable is said to have a Pareto(x m ,) distribution [ 15 ] if

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A continuous random variable is said to have a Pareto(x_m,α) distribution [15] if its PDF is given by a - {0 fx(x)= I'm x+1 for xm for xm

where x_m,α > 0. Let X ∼ Pareto(x_m,α).

a. Find the CDF of X, FX(x).

b. Find P(X > 3x_m|X > 2x_m).

c. If α > 2, find EX and V ar(X).

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Introduction To Probability Statistics And Random Processes

ISBN: 9780990637202

1st Edition

Authors: Hossein Pishro-Nik

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Question Posted: Oct 27, 2023 03:50 AM

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A continuous random variable is said to have a Pareto(x m ,) distribution [ 15 ] if

Question:

a - {0 fx(x)= I'm x+1 for xm for xm

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a CDF of X FXx The cumulative distribution function CDF of a continuous random variable X is defined ...View the full answer

Introduction To Probability Statistics And Random Processes

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