I want to name a process in which I have N = 100 individuals, and each independently has a probability p = 0.2 of an event occurring.
The binomial distribution measures the probability of having n successes in this experiment. But does the probability distribution of the experiment have a name, regardless of the number of successes? It couldn't be uniform, because even if all the probabilities are equal, the sum of the probabilities is greater than 1, right?