Question: Let X Poisson( 1 ) and Y Poisson( 2 ) be two independent random variables. Define Z = X +Y . Show that

Let X ∼ Poisson(μ1) and Y ∼ Poisson(μ2) be two independent random variables. Define Z = X +Y . Show thatX|Z = n~ Binomial (n, 1 f1 + f

X|Z = n~ Binomial (n, 1 f1 + f

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