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Binomial distribution is learned about in most statistic courses. You could use them in experiments when there are two possible outcomes and each experiment is independent.
If the question is about 4 successful outcomes out of 16 trials, when the probability of success in any single trial is 0.20 and independent of the outcomes of other trials, then the answer is, yes, the binomial experiment can be used.
Binomial. Binomial. Binomial. Binomial.
The requirements are that there are repeated trials of the same experiment, that each trial is independent and that the probability of success remains the same.
It can represent anything you want it to. The conventional use is that it represents the number of successes.