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Problem 8.6. 1. Let X ~ xỉ. Show that its moment generating function is given by 1 M1(t) = V1 – 2t - 2. Prove that 1 etx 25/2r(f/2)'e²dx = (1 – 2t)-f/2 -x/ 0, where I(:) is the Gamma function.

Problem 8.6. 1. Let X ~ xỉ. Show that its moment generating function is given by 1 M1(t) = V1 – 2t - 2. Prove that 1 etx 25/2r(f/2)'e²dx = (1 – 2t)-f/2 -x/ 0, where I(:) is the Gamma function.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 47RE
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Problem 8.6. 1. Let X ~ x. Show that its moment generating function is given by 1 M1 (t) V1 – 2t 2. Prove that 1 eta 25/2T (f/2)' f/2-1e-=/2dx = (1 – 2t)-f/2 where I'(-) is the Gamma function.
Transcribed Image Text:Problem 8.6. 1. Let X ~ x. Show that its moment generating function is given by 1 M1 (t) V1 – 2t 2. Prove that 1 eta 25/2T (f/2)' f/2-1e-=/2dx = (1 – 2t)-f/2 where I'(-) is the Gamma function.
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