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    Question about poisson distributed variables

    Hi, I'm trying to prove if X~Po(m) => 2X~Po(2m) But I'm not sure how to prove or disprove it. I'm thinking about using the addition formula, but is this the right approach? X_1~Po(m) X_2~Po(n) X_1+X_2~Po(m+n) n=m => X_1=X_2 => 2X_1~Po(2m) Any help is appreciate. Thanks /farbror