Consider an exponential distribution with parameter 3 > 0, ie., its pdf is f(x|3)==-e-/8 if x ≥ 0. е > Derive the pdf of the transformed random variable Y = X ²

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 28E
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where y > 0.
Transcribed Image Text:where y > 0.
Consider an exponential distribution with parameter 3 > 0, ie., its pdf is
T(x|3)==-*/ if x ≥ 0.
f(x|ß):
>
В
Derive the pdf of the transformed random variable
Y = X²
Transcribed Image Text:Consider an exponential distribution with parameter 3 > 0, ie., its pdf is T(x|3)==-*/ if x ≥ 0. f(x|ß): > В Derive the pdf of the transformed random variable Y = X²
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