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Binomial Random Variable

Definition

A binomial random variable represents the number of successes in a fixed number of independent Bernoulli trials, where each trial has the same probability of success.

Analogy

Think about shooting basketball free throws. A binomial random variable would represent the number of successful shots out of a fixed number attempts, assuming each shot has an equal chance to go in.

Related terms

Geometric Distribution: A probability distribution that models the number of trials needed to achieve the first success in a sequence of independent Bernoulli trials with the same probability.

Probability Mass Function (PMF): A function that gives the probability of each possible outcome for a discrete random variable.

Cumulative Distribution Function (CDF): A function that gives the cumulative probabilities for all values less than or equal to a given value for a discrete or continuous random variable.