If X is an exponential RV with parameter A, find the PDF of Y = -14 In(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.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 19E
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4.
If X is an exponential RV with parameter A, find the PDF of Y = -ln(X).
FC₁1 = [1
-XA
de
Kyo
ALO
Fy$ (Y≤ y) Fy (-In(x) ≤ g) = Fy (In(a) Z.)
= Fx (x₂ e ³) = Fx (ey).
Fx (x) for exp
-λk
l-e-le-g
ļ
le
/fy (g) = d Ex(y) = x³ exe
claxy
34 = (ANI
1
Transcribed Image Text:4. If X is an exponential RV with parameter A, find the PDF of Y = -ln(X). FC₁1 = [1 -XA de Kyo ALO Fy$ (Y≤ y) Fy (-In(x) ≤ g) = Fy (In(a) Z.) = Fx (x₂ e ³) = Fx (ey). Fx (x) for exp -λk l-e-le-g ļ le /fy (g) = d Ex(y) = x³ exe claxy 34 = (ANI 1
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