##### Asked by: Shabnam Barinagarrementeria

asked in category: General Last Updated: 22nd January, 2020# What is binomial distribution and its properties?

**Binomial distribution**. A

**binomial**experiment has four

**properties**: 1) it consists of a sequence of n identical trials; 2) two outcomes, success or failure, are possible on each trial; 3) the

**probability**of success on any trial, denoted p, does not.

Also to know is, what are the properties of a binomial distribution?

The **binomial distribution** has the following **properties**: The mean of the **distribution** (μ_{x}) is equal to n * P . The variance (σ^{2}_{x}) is n * P * ( 1 - P ). The standard deviation (σ_{x}) is sqrt[ n * P * ( 1 - P ) ].

One may also ask, what do you mean by binomial distribution? A **binomial distribution** is a specific **probability distribution**. It is used to model the **probability** of obtaining one of two outcomes, a certain number of times (k), out of fixed number of trials (N) of a discrete random event. The **probability** of a successful outcome is p and the **probability** of a failure is 1 - p.

Hereof, what are the 4 properties of a binomial distribution?

1: The number of observations n is fixed. 2: Each observation is independent. 3: Each observation represents one of two outcomes ("success" or "failure"). **4**: The **probability** of "success" p is the same for each outcome.

What is binomial experiment and its properties?

A **binomial experiment** is a statistical **experiment** that has **the** following **properties**: **The experiment** consists of n repeated trials. Each trial can result in just two possible outcomes. We call one of these outcomes a success and **the** other, a failure. **The** probability of success, denoted by p, is **the** same on every trial.