In t his problem 've show directly t hat t he sum of
Chapter 6, Problem 6.62(choose chapter or problem)
In t his problem 've show directly t hat t he sum of independen t Poisson r a ndom variables is Poisson. Let J and K be independent Poisson random variables wit h expected values a and (3, respectively, andsho'v t hat N = J + J{ is a Poisson randomvariable 'vi t h expected value a + (3 . Hint:Show t hat and t hen simplify t he summation by extractingt he sum of a binomial P MF overall possible values.
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