Practice question

Poisson λ=1 for n=100, p=0.01. P>2=1-P0-P1-P2=1-e⁻¹(1+1+0.5)=0.0803. Binomial exact gives ~0.079. Result shows low defect rate still yields occasional clusters, relevant for quality control and probabilistic modeling of rare events. Additional evidence from controlled experiments and theoretical models further supports this conclusion in biotechnology literature.