Please answer parts 1, 2, and 3 of the question below. Show all work and all steps.Please note that for parts 2 and 3, the expectation and variance should be in the form of the gamma distribution with the Γ symbol. Suppose X -Exp(B) with density fx(x) = Bexp(-Bx) for x > 0and B > 0. For Y = X/, where y > 0 is a constant, derive the following1.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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Suppose X - Exp(B) with density fx(x) = Bexp(-Bx) for a > 0 and B > 0. For Y = X/, where y> 0 is a constant, derive the following 1. The PDF of Y, fr(g). Show that it integrates to 1. 2. The expectation, E[Y]. 3. The variance, V[Y].

Suppose X - Exp(B) with density fx(x) = Bexp(-Bx) for a > 0 and B > 0. For Y = X/, where y> 0 is a constant, derive the following 1. The PDF of Y, fr(g). Show that it integrates to 1. 2. The expectation, E[Y]. 3. The variance, V[Y].

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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Question

Please answer parts 1, 2, and 3 of the question below. Show all work and all steps.

Please note that for parts 2 and 3, the expectation and variance should be in the form of the gamma distribution with the Γ symbol.

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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