##### Asked by: Loles Deaconu

asked in category: General Last Updated: 25th June, 2020# How do you know if a binomial is a random variable?

**You can identify a random variable as being binomial if the following four conditions are met:**

- There are a fixed number of trials (n).
- Each trial has two possible outcomes: success or failure.
- The probability of success (call it p) is the same for each trial.

Consequently, how do you know if something is a binomial distribution?

**Binomial distributions must also meet the following three criteria:**

- The number of observations or trials is fixed.
- Each observation or trial is independent.
- The probability of success (tails, heads, fail or pass) is exactly the same from one trial to another.

Likewise, what is the expected value of a binomial random variable? It comes from the definition of expected value of a random variable Y: E[Y] = 0*p(Y=0) + 1*p(Y=1) + .. + n*p(Y=n). As defined by Sal in this **example**, the random variabla Y only takes the values Y=0 and Y=1. Moreover, we have that p(Y=1) = p and p(Y=0) = 1-p.

Likewise, what makes something a binomial random variable?

A **binomial random variable** counts how often a particular event occurs in a fixed number of tries or trials. On each trial, the event of interest either occurs or does not. The probability of occurrence (or not) is the same on each trial. Trials are independent of one another.

What are the characteristics of a binomial random variable?

The **Characteristics Of A Binomial Distribution** Are: There Is N Number Of Independent Trials, There Are Only Two Possible Outcomes On Each Trial-success (S) And Failure (F), And The Probability Of Success, P Varies From Trial To Trial.