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
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
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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