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1 min read•june 3, 2020

Kanya Shah

You need to know how to find probabilities of binomial variables using simulation data or your calculator. Using random number generators is crucial.

A **binomial setting **arises when we perform *n* independent trials of the same chance process and count the number of times that a particular outcome called a success, occurs. Failure is defined as 1 minus the probability of success.

The count of successes in a** binomial setting** is a** binomial random variable**. The probability distribution of X is a binomial distribution. The possible values of X are 0, 1, 2, 3, …,n. Any **binomial distribution** is completely specified by two numbers: the number of trials of the chance process and the probability p of success on each trial.

**Binomial coefficients: **The number of ways to arrange **k successes in n trials** is given by the binomial coefficient or n over k *without a fraction bar.*

To find binomial variable probability, use the following formula or use the calculator function of **binomCDF/PDF.**

Courtesy of Reddit

**BinomialCDF** is for cumulative distribution frequency or when you want to include the boundary and every value that came before it. **BinomialPDF** is for point distribution frequency or when you’re looking for strictly one value.

🎥**Watch: AP Stats - ****Probability: Random Variables, Binomial/Geometric Distributions**

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