Binomial Distribution

Perhaps the most widely known of all discrete distribution is the binomial distribution. The binomial distribution has been used for hundreds of years. Several assumptions underlie the use of the binomial distribution.

Assumptions of the binomial distribution

• The experiment involves n identical trials.
• Each trial has only two possible outcomes denoted as success or failure.
• Each trial is independent of the previous trials.
• The terms p and q remain constant throughout the experiment, where p is the probability of getting a success on any one trial and q = (1 – p) is the probability of getting a failure on any one trial.

The Binomial Distribution Formula

where

n = the number of trials (or the number being sampled)

x = the number of successes desired

p = the probability of getting a success in one trial

q = 1 – p = the probability of getting a failure in one trial.

Introduction to the binomial distribution

More Binomial Distribution

Basketball binomial distribution

Using Excel to visualize the basketball binomial distribution

The following video will discuss what a binomial experiment is, discuss the formula for finding the probability associated with a binomial experiment, and gives an example to illustrate the concepts.

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