Binomial Setting
Definition
In statistics, a binomial setting refers to an experiment with two possible outcomes (success or failure) for each trial, fixed number of trials, independence between trials, and constant probability of success for each trial.
Analogy
Think about flipping a fair coin multiple times. Each flip is independent (the outcome doesn't depend on previous flips), there are only two possible outcomes (heads or tails), and we can define success as getting heads. So if we want to know how likely it is to get exactly 3 heads in 5 flips, we can use binomial probabilities.
Related terms
Bernoulli Trial: An individual trial within a binomial experiment that has only two possible outcomes.
Probability Distribution Function (PDF): A function that describes all possible values and their associated probabilities in a probability distribution.
Expected Value: The average value expected from an experiment over many repetitions.
"Binomial Setting" appears in:
Additional resources (1)
Practice Questions (3)
- In a binomial setting, which of the following statements is true?
- The probability of success in a binomial setting is 0.8. What is the probability of failure?
- The probability of success in a binomial setting is 0.6. What is the probability of exactly 3 successes in 8 independent trials?
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