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What is the main difference between the conditions for the binomial setting and the conditions for the geometric setting?
In a binomial setting, the probability of success is the same for each observation, while in the geometric setting the probability of success changes from observation to observation.
In a geometric setting, all observations must be independent, while in a binomial setting the observations do not need to be independent.
In a binomial setting, there is a fixed number of observations, while in a geometric setting the number of observations is not fixed.
In a binomial setting the outcome on each observation must fall into one of only two possible categories, while in a geometric setting, there is no such restriction on the observed outcomes.
The conditions for a geometric setting are exactly the same as the conditions for a binomial setting. There is no difference.