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Independent poisson random variables

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Let X and Y be independent Poisson random variables with arrival rates of κ and ν. What is the probability that X = k given that X + Y = n (k ≥ 0,n ≥ 0)? [That is, what is fX|Y (x|y) = P[X = k |X + Y = n]?]

Reference no: EM131719946

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