3.1-11. The pdf of Y is g(y) = c/y³, 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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Can you please help me with this problem because I am having trouble with this, can you please do this step by step and can you label the parts as well

3.1-11. The pdf of Y is g(y) = c/y³, 1 <y<∞.
a. Calculate the value of c so that g(y) is a pdf.
b. Find E(Y).
c. Show that Var(Y) is not finite.
Transcribed Image Text:3.1-11. The pdf of Y is g(y) = c/y³, 1 <y<∞. a. Calculate the value of c so that g(y) is a pdf. b. Find E(Y). c. Show that Var(Y) is not finite.
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