Let X be a continuous random variable with p.d.f. f(x) and distribution func Y = X², (a) what is the g(u)?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
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Let X be a continuous random variable with p.d.f. f(x) and distribution function F(x). If
Y = X²,
(a) what is the g(y)?
14/12
(b) If ƒ(x) = -√2/²
2π
-∞<x<∞, find g(y).
Transcribed Image Text:Let X be a continuous random variable with p.d.f. f(x) and distribution function F(x). If Y = X², (a) what is the g(y)? 14/12 (b) If ƒ(x) = -√2/² 2π -∞<x<∞, find g(y).
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