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

Chapter 3, Problem 11E

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QUESTION:

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.

Questions & Answers

QUESTION:

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.

ANSWER:

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.


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