Oct 22, 2025 · Probability function that gives discrete random variables probability equal to an exact value is called the probability mass function. The probability mass function is abbreviated as PMF.

The probability mass function (pmf) (or frequency function) of a discrete random variable X assigns probabilities to the possible values of the random variable.

Jun 20, 2025 · In probability and statistics, the likelihood of an outcome for discrete random variables is quantified by the probability mass function (PMF), whereas for continuous variables, we use the …

The pmf of a discrete random variable provides the probability of “equal to” events: P(X = x) P (X = x). Probabilities for other general events, e.g., P(X ≤ x) P (X ≤ x) can be obtained by summing the pmf …

For discrete random variables, the PMF is also called the probability distribution. Thus, when asked to find the probability distribution of a discrete random variable $X$, we can do this by finding its PMF.

May 14, 2025 · Understanding how to derive the pmf and cdf for discrete random variables is quintessential. In this section, we discuss methods and provide use cases to facilitate …

One of the problems has an accompanying video where a teaching assistant solves the same problem. This section provides materials for a lecture on discrete random variable examples and joint …

Oct 10, 2023 · A probability mass function (PMF) is a function that describes the probability distribution of a discrete random variable. For each possible value that the random variable can take, the PMF …

A probability mass function (PMF) is a mapping of values x x of discrete random variables X X to probabilities [0, 1] [0,1]. p X (x) = P (X = x) pX (x) = P (X = x)

Probability mass function can be defined as the probability that a discrete random variable will be exactly equal to some particular value. In other words, the probability mass function assigns a particular …