Riley hobson bence · Problem 30.29

Statistics

Mathematics — Methods · compound-distribution

Problem

Show that the probability of kk chicks hatching is given by Pr⁡(k chicks hatching)=∑n=k∞Po(n,λ) Bin(n,p).\Pr(k \text{ chicks hatching}) = \sum_{n=k}^{\infty} \text{Po}(n,\lambda)\, \text{Bin}(n,p).

Related theory

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