**Binomial distribution, **

### Definition of Binomial distribution:

Frequency distribution where only two (mutually exclusive) outcomes are possible, such as better or worse, gain or loss, head or tail, rise or fall, success or failure, yes or no. Therefore, if the probability of success in any given trial is known, binomial distributions can be employed to compute a given number of successes in a given number of trials. And it can be determined if an empirical distribution deviates significantly from a typical outcome. Also called Bernoulli distribution after its discoverer, the Swiss mathematician Jacques Bernoulli (1654-1705). See also poisson distribution.

The binomial distribution is a probability distribution that summarizes the likelihood that a value will take one of two independent values under a given set of parameters or assumptions. The underlying assumptions of the binomial distribution are that there is only one outcome for each trial, that each trial has the same probability of success, and that each trial is mutually exclusive, or independent of each other.

The binomial distribution is a common discrete distribution used in statistics, as opposed to a continuous distribution, such as the normal distribution. This is because the binomial distribution only counts two states, typically represented as 1 (for a success) or 0 (for a failure) given a number of trials in the data. The binomial distribution, therefore, represents the probability for x successes in n trials, given a success probability p for each trial.

### How to use Binomial distribution in a sentence?

- Figuring out what the difference is between a binomial distribution can help you to end up on the side you want to be.
- The underlying assumptions of the binomial distribution are that there is only one outcome for each trial, that each trial has the same probability of success, and that each trial is mutually exclusive or independent of each other.
- The binomial distribution is a common discrete distribution used in statistics, as opposed to a continuous distribution, such as the normal distribution.
- I wish I could determine the binomial distribution , so I would know where our successes reside and where our failures reside as well.
- The binomial distribution is a probability distribution that summarizes the likelihood that a value will take one of two independent values under a given set of parameters or assumptions.
- Figuring out what the binomial distribution says to do will help you to maximize all of your long term profits.

Meaning of Binomial distribution & Binomial distribution Definition