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2. The Poisson distribution for discrete k, k = 0, 1, 2, ... and real parameter ) is yrr- a = (vy ) d k!

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2. The Poisson distribution for discrete k, k = 0, 1, 2, ... and real parameter ) is yrr- a = (vy ) d k! (a) Find the mean of k. (b) Find the variance of k. (c) Find the mode of k. (d) Assume two categories C1 and C2, equally probable a priori, distributed with Poisson distributions and A1 > 12. What is the Bayes classification decision? (e) What is the Bayes error rate

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