Suppose X - Exp(B) with density fx(x) = Bexp(-Bx) for x > 0 and B > 0. For Y = X1, where y > 0 is a constant, derive the following 1. The PDF of Y, fy(g). Show that it integrates to 1.
Suppose X - Exp(B) with density fx(x) = Bexp(-Bx) for x > 0 and B > 0. For Y = X1, where y > 0 is a constant, derive the following 1. The PDF of Y, fy(g). Show that it integrates to 1.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Solve all parts of the question attached. Show all work and do not reuse a former solution.
![Suppose X -
Exp(B) with density fx(x) = Bexp(-Bx) for x > 0
and B > 0. For Y = X/, where y > 0 is a constant, derive the following
1.
The PDF of Y, fy(g). Show that it integrates to 1.
2.
The expectation, E[Y].
3.
The variance, V[Y].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8c2ff348-a0ac-49b4-af78-d8b182dcdea2%2F20d6c188-9bbf-4604-ba49-de6e5ec67f44%2Ffxb54e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose X -
Exp(B) with density fx(x) = Bexp(-Bx) for x > 0
and B > 0. For Y = X/, where y > 0 is a constant, derive the following
1.
The PDF of Y, fy(g). Show that it integrates to 1.
2.
The expectation, E[Y].
3.
The variance, V[Y].
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