Suppose that X and Y are independent random variables each with a x'(2) distribution. Find the moment generating function of U = X+ 2Y. State clearly and justify all steps taken. Hint: You may use without proof the fact that the moment generating function of a x'(v) random variable W is v/2 ()". Mw(t) = - 2t

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 1E
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Suppose that X and Y are independent random variables
each with a x'(2) distribution. Find the moment generating function of U = X+ 2Y.
State clearly and justify all steps taken.
Hint: You may use without proof the fact that the moment generating function of a
x'(v) random variable W is
v/2
()".
Mw(t) =
- 2t
Transcribed Image Text:Suppose that X and Y are independent random variables each with a x'(2) distribution. Find the moment generating function of U = X+ 2Y. State clearly and justify all steps taken. Hint: You may use without proof the fact that the moment generating function of a x'(v) random variable W is v/2 ()". Mw(t) = - 2t
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