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
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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].
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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