Probability mass function

The probability mass function gives the probability that a discrete random variable takes each particular value. It is the basic way to describe a discrete probability distribution.

f_X(x) = \Pr(X = x) = \Pr(\{s \in S : X(s) = x\})

What the symbols mean

probability mass function of the discrete random variable X, evaluated at x
discrete random variable
a possible value of X
sample space of the underlying random experiment
an outcome in the sample space S

About this formula

  • FieldStatistics
  • TopicProbability distributions
  • LevelUniversity
  • Also calledpmf, discrete probability density function, frequency function, probability mass function of a discrete random variable
  • SourceWikidata Q869887

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