QUESTION 1 1 +x x 1. Find the pdf of the random vector (R,T a) Suppose (X, Y) has the pdf f (x, y) = Rcos (T) Y Rsin(T) which is (X, Y) expressed in polar coordinates, that is, X = 1 Let X follow the Cauchy distribution with the pdf fx(x) 1 b) Find the pdf of 1/X E R. 12

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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QUESTION 1
1 +x
x
1. Find the pdf of the random vector (R,T
a) Suppose (X, Y) has the pdf f (x, y) =
Rcos (T) Y Rsin(T)
which is (X, Y) expressed in polar coordinates, that is, X =
1
Let X follow the Cauchy distribution with the pdf fx(x)
1
b)
Find the pdf of 1/X
E R.
12
Transcribed Image Text:QUESTION 1 1 +x x 1. Find the pdf of the random vector (R,T a) Suppose (X, Y) has the pdf f (x, y) = Rcos (T) Y Rsin(T) which is (X, Y) expressed in polar coordinates, that is, X = 1 Let X follow the Cauchy distribution with the pdf fx(x) 1 b) Find the pdf of 1/X E R. 12
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