Consider independent geometric variables ?1 ,Y2, Y3 which all having parameter ? with moment generating functions, ? Yi(?)=[ ???/1-(1-p)et], ?=1,2,3 Calculate moment generating function of ? = ? 1+ ? 2+ ? 3to determine distribution of ? and its parameter

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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Consider independent geometric variables ?1 ,Y2, Ywhich all having parameter ? with moment generating functions,


? Yi(?)=[ ???/1-(1-p)et], ?=1,2,3


Calculate moment generating function of ? = ? 1+ ? 2+ ? 3to determine distribution of ? and its parameter

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