7. (25 points) Let X have the pdf f(x) = 2, -2 < r < 4. Find the pdf of Y = X² using Two-to-one function technique.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
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7. (25 points) Let X have the pdf f(x)
function technique.
2, -2 < < 4. Find the pdf of Y = X² using Two-to-one
8. (25 points) let X1 and X2 be a random sample of size n=2 from a distribution with pdf f(r) = 2x(1 –
I), 0<x < 1. Find the mean and variance of Y = X+X2.
Transcribed Image Text:7. (25 points) Let X have the pdf f(x) function technique. 2, -2 < < 4. Find the pdf of Y = X² using Two-to-one 8. (25 points) let X1 and X2 be a random sample of size n=2 from a distribution with pdf f(r) = 2x(1 – I), 0<x < 1. Find the mean and variance of Y = X+X2.
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