Discrete random variables represent quantities that can take on only specific, separate values, typically whole numbers. Discrete random variables have a countable set of possible outcomes.
Probability Distributions
The probability distribution of a discrete random variable describes the likelihood of each possible outcome. This can be represented in two main ways:
Probability Mass Function (PMF): A function that gives the probability of each possible value.
Cumulative Distribution Function (CDF): A function that gives the probability of the variable being less than or equal to a given value.
Tabular representation of probability mass function.Note
The sum of all probabilities in a discrete probability distribution must equal 1.
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