Probability mass function

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In probability and statistics, a probability mass function (PMF), discrete probability density function, probability function, or frequency function is a function that gives the probability that a discrete random variable is exactly equal to some value. The PMF is often the primary means of defining a discrete probability distribution, and such functions exist for either scalar or multivariate random variables whose domain is discrete. A PMF differs from a continuous probability density function (PDF) in that the latter is associated with continuous rather than discrete random variables. A continuous PDF must be integrated over an interval to yield a probability. The value of the random variable having the largest probability mass is called the mode.

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