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Consider classification based on Bayesian rule where classes $\Omega_l$ have prior probabilities $\pi_l$ and training samples have Poisson distributions with parameters $\lambda_l$, $1,\dots,L$. Write the Bayesian classification rule for this problem when a) $\lambda_l, 1,\dots,L,$ are known; b) $\lambda_l, 1,\dots,L,$ are unknown.

I do not know to do this problem at all. Any help would be appreciated.

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