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Suppose X is a random variable with the cdf Fx(x) = 1-(1 + x²) x>0, C70, X>0 Derive the pdf of the inverse of X, Y=¹/x.

Suppose X is a random variable with the cdf Fx(x) = 1-(1 + x²) x>0, C70, X>0 Derive the pdf of the inverse of X, Y=¹/x.

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 21E
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Suppose X is a random variable with the cdf Fy(x) = 1-(1+x²) x>0, c>0, Y>0 Derive the pdf of the inverse of X, Y=1/x²
Transcribed Image Text:Suppose X is a random variable with the cdf Fy(x) = 1-(1+x²) x>0, c>0, Y>0 Derive the pdf of the inverse of X, Y=1/x²
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