1. (Review) (a) Suppose that X~ Cauchya and c> 0. Show that Y = CX ~ Cauchyca (Hint: This is a change of variable problem. First find the cdf for Y, then find the pdf by differentiating)
1. (Review) (a) Suppose that X~ Cauchya and c> 0. Show that Y = CX ~ Cauchyca (Hint: This is a change of variable problem. First find the cdf for Y, then find the pdf by differentiating)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Problem 1P
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![=
1. (Review) (a) Suppose that X ~ Cauchya and c> 0. Show that Y cX
Cauchyca (Hint: This is change of variable problem. First find the cdf for Y,
then find the pdf by differentiating)
(b) If X₁, ..., Xn are i.i.d. and X; ~ Cauchya, then Sn~ Cauchya (The point:
Unlike in the various versions of the law of large numbers, Sn does not converge
to a constant in any sense).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8eb7d608-8711-4c47-ad3d-24252649afd6%2F039fdb75-5986-45e1-b0d2-f9f45ef56d7b%2Fffuo2rg_processed.png&w=3840&q=75)
Transcribed Image Text:=
1. (Review) (a) Suppose that X ~ Cauchya and c> 0. Show that Y cX
Cauchyca (Hint: This is change of variable problem. First find the cdf for Y,
then find the pdf by differentiating)
(b) If X₁, ..., Xn are i.i.d. and X; ~ Cauchya, then Sn~ Cauchya (The point:
Unlike in the various versions of the law of large numbers, Sn does not converge
to a constant in any sense).
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