Answered: technique to find the density function…

technique to find the density function for the random variable Y. The density function should be given as a piecewise function. f(x) = 1/3e^-1/3x x>0 Y=e^x 0 elsewhere

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.3: The Natural Exponential Function

Problem 44E

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Question

Use the transformation technique to find the density function for the random variable Y. The density function should be given as a piecewise function.

f(x) = 1/3e^-1/3x x>0 Y=e^x

0 elsewhere

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

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