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The pdf of Y is g(y) = d/y3, 1 < y < ?.(a) Calculate the

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman ISBN: 9780321923271 41

Solution for problem 11E Chapter 3.1

Probability and Statistical Inference | 9th Edition

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Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

Probability and Statistical Inference | 9th Edition

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Problem 11E

The pdf of Y is g(y) = d/y3, 1 < y < ∞.

(a) Calculate the value of d so that g(y) is a pdf.

(b) Find E(Y).

(c) Show that Var(Y) is not finite.

Step-by-Step Solution:

Step 1 of 4:

Given that the probability density function(pdf) of Y is,

g(y)=;1<y<

 Firstly we have to find the value of E(Y) and then we have to show that Var(Y) is infinite.


Step 2 of 4

Chapter 3.1, Problem 11E is Solved
Step 3 of 4

Textbook: Probability and Statistical Inference
Edition: 9
Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
ISBN: 9780321923271

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