Prove that the CMP distribution (operatorname{CMP}(lambda, v)) converges to (a) a Bernoulli distribution as (v) goes to

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Prove that the CMP distribution \(\operatorname{CMP}(\lambda, v)\) converges to

(a) a Bernoulli distribution as \(v\) goes to infinite. Find the parameter for the limiting Bernoulli distribution;

(b) a geometric distribution as \(v \rightarrow 0\). Find the parameter for the limiting geometric distribution.

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