Let X and Y be independent and normally distributed RVs with the same PDF Find the PDFS of: (i) X+ Y; (ii) x: X2: (iii) x²+ y?.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 59E
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Let X and Y be independent and normally distributed RVs with the
same PDF
Find the PDFS of:
(i)
(ii) x?:
(iii) x²+ Y?.
X + Y;
Transcribed Image Text:Let X and Y be independent and normally distributed RVs with the same PDF Find the PDFS of: (i) (ii) x?: (iii) x²+ Y?. X + Y;
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