Question
Let X and Y be two independent random variables, both from Poisson distribution with the same parameter t : (a) Use moment generating functions to
Let X and Y be two independent random variables, both from Poisson distribution with the same parameter t :
(a) Use moment generating functions to prove that the sum X+Y also has a Poisson distribution. Identify the parameter of the distribution.
(b) Does 2X also have a Poisson distribution? Justify your answer!
(c) Does 1/2 X also have a Poisson distribution? Justify your answer
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Elementary Linear Algebra Applications Version
Authors: Howard Anton, Chris Rorres
11th Edition
1118879163, 9781118879160
