of the chi-square distribution is that if U and V are independent and U~ x and V~x, then U + V ~ Xm+n* Show this using moment-generating functions.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 20E
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2. Semester test question:
of the chi-square distribution is that if U and V are independent and U
V~x, then U + V ~ X²+²
x, and
Show this using moment-generating functions.
3. Give the pdf of a random variable that is t distributed and has 2 degrees of freedom in the simplest
form.
Transcribed Image Text:2. Semester test question: of the chi-square distribution is that if U and V are independent and U V~x, then U + V ~ X²+² x, and Show this using moment-generating functions. 3. Give the pdf of a random variable that is t distributed and has 2 degrees of freedom in the simplest form.
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