z-le-z/$ T(a),3⁰ fx(x) = Show all workings for full marks. for z>0 and 0 otherwise. X-a8 (a) Determine the pdf of Z = (fz(z)), using a transformation method used in this course. In your workings include the bounds of Z. Show all workings. (b) Determine the pdf of Y = ln X (fy (y)), using a transformation method used in this course. In your workings include the bounds of Y. Show all workings.
z-le-z/$ T(a),3⁰ fx(x) = Show all workings for full marks. for z>0 and 0 otherwise. X-a8 (a) Determine the pdf of Z = (fz(z)), using a transformation method used in this course. In your workings include the bounds of Z. Show all workings. (b) Determine the pdf of Y = ln X (fy (y)), using a transformation method used in this course. In your workings include the bounds of Y. Show all workings.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 70EQ
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Transcribed Image Text:The random variable X has a gamma(a, 3) distribution; ie X has pdf:
fx(x) =
1-1-2/3
I(α) 3⁰
Show all workings for full marks.
for x > 0 and 0 otherwise.
X-aß
(a) Determine the pdf of Z
Vas (fz(z)), using a transformation method used in this
course. In your workings include the bounds of Z. Show all workings.
=
(b) Determine the pdf of Y = ln X (fy (y)), using a transformation method used in this
course. In your workings include the bounds of Y. Show all workings.
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