Trials are often assumed to be independent, meaning the outcome of one does not affect another.
The number of trials is denoted by 'n' in binomial distribution formulas.
In binomial experiments, each trial has exactly two possible outcomes: success or failure.
The probability of success in a single trial is denoted by 'p', while the probability of failure is '1-p'.
To qualify as a binomial trial, each trial must have a fixed probability of success.
Review Questions
What does it mean for trials to be independent?
How are trials represented in the binomial distribution formula?
What is required for an experiment's trials to be considered binomial?
Related terms
Binomial Distribution: A probability distribution that summarizes the likelihood that a value will take one of two independent states across a series of trials.
Success Probability (p): The probability that a single trial results in a success.
Failure (1-p): The probability that a single trial results in a failure.