The binomial distribution is a probability distribution. It has discrete values. It counts the number of successes in yes/no-type experiments. There are two parameters, the number of times an experiment is done (n) and the probability of a success (p). Examples are:
- Tossing a coin 10 times, and counting the number of face-ups. (n=10, p=1/2)
- Rolling a dice 10 times, and counting the number of sixes. (n=10, p=1/6)
- Suppose 5% of a certain population of people have green eyes. 500 people are picked randomly. The number of green-eyed people will follow a binomial distribution (n=500, p=0.05).