# Binomial distribution

A binomial distribution is a probability distribution that describes the outcome of a given number of Bernoulli trials. In a Bernoulli trial, there are only two possible outcomes: success or failure. The binomial distribution describes the probability of getting a certain number of successes in a given number of trials.

The binomial distribution is a probability distribution that is defined by two parameters: n and p. n is the number of trials, and p is the probability of success in each trial. The binomial distribution is a discrete probability distribution, which means that it can only take on certain values. The possible values of the binomial distribution are the integers from 0 to n.

The mean of the binomial distribution is n*p, and the variance is n*p*(1-p). The binomial distribution is a special case of the more general binomial distribution. What is an example of binomial distribution? A binomial distribution is a type of probability distribution in which there are only two possible outcomes, usually labeled "success" and "failure." The probability of success is usually constant from one trial to the next, while the probability of failure may vary. The distribution is named after the fact that it can be used to model the number of successes in a series of Bernoulli trials, where each trial is independent and has only two possible outcomes.

#### What is the binomial distribution used for?

The binomial distribution is a discrete probability distribution that models the probability of a given number of successes in a fixed number of trials. The binomial distribution is used in many applications, such as in statistical hypothesis testing and in the calculation of confidence intervals.

Why is it called binomial distribution? The binomial distribution is so named because it describes the probability of getting a certain number of "successes" in a given number of "trials." For example, if you have a coin that you know is fair, then the binomial distribution can be used to calculate the probability of getting a certain number of heads in a given number of flips.

##### What are the main features of binomial distribution?

The binomial distribution is a discrete probability distribution that models the probability of a given number of successes in a given number of trials. The main features of the binomial distribution are:

-The distribution is defined by two parameters: the number of trials (n) and the probability of success (p).

-The mean of the distribution is n*p, and the variance is n*p*(1-p).

-The distribution is symmetric around the mean, and the probability of success and failure are equal (p=0.5).

-The distribution is used to model situations where there are a fixed number of trials, each with a fixed probability of success or failure. What is difference between binomial and Poisson distribution? Binomial and Poisson distributions are both probability distributions that can be used to model the likelihood of a given number of events occurring in a fixed period of time. The main difference between the two distributions is that the binomial distribution is used when the events are independent and the Poisson distribution is used when the events are dependent.