Suppose that X, Y and Z are statistically independent random variables, each of them with a x²(2) distribution. Find the moment generating function of U=X+3Y + Z. State clearly and justify all steps taken.

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.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 15E
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Suppose that X, Y and Z are statistically independent
random variables, each of them with a x²(2) distribution.
Find the moment generating function of U = X + 3Y + Z. State clearly and
justify all steps taken.
Transcribed Image Text:Suppose that X, Y and Z are statistically independent random variables, each of them with a x²(2) distribution. Find the moment generating function of U = X + 3Y + Z. State clearly and justify all steps taken.
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