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The Number of Successes Is Binomially Distributed
Some people get a bit confused and think that the number of successors, or heads, r, is also a perameter, right? Yes. That's a common misunderstanding that i have seen with my students. The number of successes is not a perimeter, but a random variable, a quantity that can vary meaningfully from experiment to experiment. So we have the story might be binomially distributed.