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This depends on what information you have.

If you know the success probability and the total number of observations, you can use the given formulas. Most of the time, this is the case.

If you have data or experience which allow you to estimate the parameters, it may sometimes happen that you work like this. This mostly happens when n is very large and p very small which results in an approximation with the Poisson distribution.

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Q: Can you use the formulas for a probability distribution to calculate parameters for a binomial probability distribution or can you just use the given formulas for a binomial probability distribution?
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Consider a binomial distribution with 10 trials What is the expected value of this distribution if the probability of success on a single trial is 0.5?


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