Please make sure to display your thought process? It isimperative to be able to follow how the answer was deduced. Pleasebe as thorough as possible. Please address all parts of thisquestion.
A team of medical researchers wants to estimate the malariainfection rate in a difficult-to-access jungle region of [No NameCountry]. There are 80 villages in the studied part of the jungle,which can be assumed to be rather similar to each other. Eachvillage has at least 300 inhabitants. We want to test 200individuals for malaria. Propose a cost-efficient sampling methodusing one or multiple (the one that applies the most\"\"PROBABILITY THEORY BASED MODELS\" of Bernoulli,Binomial, Poisson distributions?