What is the formula for the expected number of successes in a binomial experiment with trials and probability of success ?
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The expected number of successes in a binomial experiment, which is the mean of the binomial distribution, is calculated using the simple and elegant formula . This means that if you conduct trials, with each trial having a probability of success, you can expect, on average, successes. It’s like predicting how many times you’ll win at a carnival game!

Now, if you’ve ever played a game where you have a certain chance of winning, you know it can be tricky to keep track of what to expect. A common mistake is confusing the expected value with the actual number of successes, which can vary. Remember: the expected value gives you a good average idea, but individual results may bounce around a lot due to randomness!