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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 19E

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Question

X
Let X and Y be independent random variables and distributed as Uniform
distribution on the interval (0,2). Derive the probability density function of V=-
using the transformation technique. Show your work clearly on
Y
a)
defining your new random variables,
b)
getting the Jacobian transformation,

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Let X and Y be independent random variables and distributed as Uniform distribution on the interval (0,2). Derive the probability density function of V using the transformation technique defining your new random variables, and getting the Jacobian transformation, obtaining the new space of your random variables on the graph, finding the joint probability density function and the probability density function of the random variable v. X Y
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